Math, asked by shreyagurav02, 2 months ago

the roots of the quadratic equation x+2x-15=0 are
a)5 & -3
b) -5 & 3
c) -5 & -3
d)5 & 3

plss pls ans ​

Answers

Answered by LaCheems
23

{\huge{\boxed{\sf{\red{Quéstion:-}}}}}

the roots of the quadratic equation x²+2x-15=0 are:-

{\huge{\boxed{\sf{\green{Answér:-}}}}}

 {x}^{2}  + 2x - 15 = 0 \\  \\  {x}^{2}  - 5x + 3x - 15 \\  \\ x(x - 5) + 3(x - 5) \\  \\ (x - 5)(x + 3) \\  \\  \\ ... \\  \\ x - 5  \\ {\boxed{x = 5}} \\  \\ x + 3 \\ {\boxed{x =  - 3}}

SO , THE ROOTS TO EQUATION ARE :- 5, -3

OPTION - a)5 & -3

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Answered by dibyansh1000
5

Step-by-step explanation:

a)-5 and 3

Substitute x = -5

L.H.S

= x²+2x-15

= (-5)²+2×(-5)-15

= 25-10-15

= 25-25

= 0

Hence L.H.S = R.H.S.

Therefore, -5 is a root of the given quadratic equation.

Now,Substitute x = 3

L.H.S

= x²+2x-15

= (3)²+2×3-15

= 9+6-15

= 15-15

= 0

Hence,L.H.S = R.H.S.

Therefore, 3 is a root of the given quadratic equation.

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