Question

(iii) Roots of a quadratic equation are 5 and -4 then from the quadratic equation.​

Answer 1

Step-by-step explanation:

root α=5 and β=−2

Then sum of roots =α+β=5−2

⇒α+β=3

And product of roots =αβ=5×(−2)

⇒αβ=−10

hence , required equation whose roots are 5 and −2

x

2

− ( sum of roots) x + product of roots =0

⇒x

2

−3x+(−10)=0

⇒x

2

−3x−10=0

Hence required equation is x

2

−3x−10=0 whose roots are 5 and −2