0:03 [Music] Hyman Akiyama in this video entitled hi Nathan Inaba and quadratic equation by an open 18 since auditing a quadratic equation into standard form ax squared plus BX plus C equals 0 also a identify metonym a B and C value given an quadratic equation so HoloNet Maputo my melody tone mathematical equations so Ungava Natan let's try to
0:51 identify the linear equations si sagina 10 all right so Marinol on Tom Lehman nananana Tutera Aetna lipid Sibylla ante natal nothing linear equation now I know burrito manga nitiram mathematical equations so a to animate or ante natal igniting quadratic equation pandoba not in Malayalam and quadratic equation a quadratic equation in one variable is a
1:37 mathematical sentence of the grid two packs in a beam adding degree to second degree dogmatic eaten attend so packing dean athenian ajita eve exhibition bagua Zhang to R squared or exponent nough to ibig sabihin that is only a linear equation now since marin tae-young 2 which is on the second degree then we can now consider this as quadratic equation now always remember that a quadratic equation can be written wedyn attention is so let into standard form a new knob on standard form we have a x squared plus BX plus C equals zero
2:23 where a B and C are real numbers and a should not be equal to zero but and an attendee not in a dapat indicia mug equals zero or else McGee linear equation lemon Ito no in standard form it should be a positive real number that and an opinion all right let's have the parts of quadratic equation what is a x squared this is our quadratic term so we have three terms in
3:10 quadratic equation now what is what do we call this confirm bx is the linear term while c is our constant term so in quadratic equation in standard form ax squared is the quadratic term BX is the linear term and C is your constant term equals zero okay so let's have an example let's try to identify a B and C given the following quadratic equation so I have here x squared minus 5x plus 3 is equal
3:59 to 0 now I knew naba an a value B value and C value of the given quadratic equation so a is equal to 1 since we all know that variable is only a little the numerical coefficient of the variable is always 1 next me is equal to negative 5 so after you NASA get nap and then C is equal to 3 so Yan Lang para and PACU Hannam e B and C you have to arrange it first into standard form
4:46 parama who cannot enum value non a B and C next for M squared plus 4 M plus 1 is equal to 0 e is equal to 4 B is equal to 4 C is equal to 1 next in this give it give an example 9 R squared minus 25 we do not have the B value so what will be the B value papa velasca doing some idiotic equation so our a will be 9 me will become 0 and then C is equal to negative 25 next
5:36 a is equal to 1/2 B is equal to 3 [Music] okay didn't a man so last example nothing Puma Poppins in your wallet and constant term so therefore our C will be zero next how are we going to write a quadratic equation into standard form so remember our standard form must be written in a x squared plus BX plus C
6:24 equals zero okay given the example x squared plus x equals four so a lilypad not in C for for us to have the value of C and equated to 0 so we will have now x squared plus X aleady but not in C for so that will become negative 4 is equal to 0 so we can now get the value of a B and C is equal to 1 B is equal to 1 C is equal to
7:10 negative 4 another example I have here 7 x squared is equal to 1/3 X so again let us write this quadratic equation into standard form so we will have 7 x squared minus 1/3 X is equal to 0 so even if at not in C one-third X and then equate to 0 one-third X will become negative so we will have now the value of a which is 7 B is equal to negative 1/3 and C is equal to 0 since we do not
7:59 have the value of Conda constant term next we have here 6x squared is equal to 9 so let us arrange it into standard form leap at 99 so Maggie 6x squared minus 9 remember NAFA pugna really pata your non constant change the sign Col du motto motto motto wishes are equal symbol so therefore we will have
8:48 now is equal to 6 me is equal to 0 since we do not have the linear term and then C is equal to negative 9 next I have here negative eight x squared plus X is equal to six so first leap at 96 that will become negative eight x squared plus X minus 6 gasps Emma giggling negativeness is six and then equate to zero now remember a guy anissina bacopa nina
9:34 non-standard form your age should be a positive real number so since um a methine veto a negative where the motion a multiplied by negative one or whether in among a divide moshe by negative one so I'm Manya real and meet or mug to change long tire lahat non-science so you negative eight more Maggie Ginn positive 8x squared young positive x Maggie minus X u minus six Maggie Dean plus 6 and then equals to 0 so we will now have the value of a which is 8 B is
10:21 equal to negative 1 and C is equal to 6 neck's so it oh haha young example so let's have an twist so I have here say X multiplied by the quantity of X minus 2 is equal to 10 so we will have 3 x squared minus 1 again sorry x squared multiplying I can say 3 x times X so when we are multiplying the variable we are adding its exponent so
11:08 since Marron time X and the bias at Sal all McGuigan to nasha so squared so 3 times 1 that is 3 X and X that is x squared next sign dominating minus 6 X 3 times negative 2 that is negative 6 and since we only have X 1 X or you will just copy X and then bring down equals 10 mix a lilypad Manhattan c10 can see that is our constant term for us to write the given quadratic equation into a standard form so we will now have 3x squared
11:56 minus 6x minus 10 remember it should be negative is equal to 0 so we can now get a is equal to 3 B is equal to negative 6 and C is equal to negative 10 next I have here the quantity of 2x plus 5 and X minus 1 so Marin time the LaJuan by a binomial so panin at insa is a soul so first multiply 2x and X so that will become 2x squared
12:42 next multiply 2x and negative 1 or minus 1 that will become negative 2x and then 5 times X that is 5x and then 5 times negative 1 that will become negative 5 equals 6 so we will now have 2x squared plus 3x pocket casts a mere entire negative 2 and positive 5 so McGee positive 3x so Buffett positive 3 because 5 is bigger than at the absolute value of 5 is bigger than the absolute
13:29 value of negative 2 and then bring down negative 5 bring down negative 6 next so evenly but not in C negative 6 so McGee 2x squared plus 3x minus 5 plus 6 remember negative share soap agni-v but not in McGee positive 6 is equal to 0 now since Marant IM dalja want constant term we will combine this two so McAfee anti-human and 2x squared plus 3x plus 1 equals 0 so we will now have a is equal
14:16 to 2 B is equal to 3 and C is equal to 1 always remember that the standard form must be a x squared plus BX plus C equals 0 okay so boo ha nothing's a gotten it all let's think about this consider 3x squared minus X plus 5 is equal to 0 what is a in the equation so since nifer arranged nasha into standard form Adelina natima fajita and value non e and that is 3 if a is equal to 0
15:02 well the equations still be quadratic no a guy yeah - in a bhikkhu pnina if a will become 0 then the value of it will well i Maggie equals ax 0 so that will become linear equation neck next what is B in the equation so B is equal to a negative 1 if B will if B is equal to 0 well the equation still be quadratic yes we can still have a and C
15:48 what is C in the equation that is 5 if C is equal to 0 well the equation still be quadratic yes always remember the quadratic equation must have a second degree exponent so hi Edna and be at sinatun among equals a zero that is still awkward thank you for watching this video I hope you learned something don't forget to Like subscribe and hit the bell button so our Walmart channel just keep on watching
