Question

For a quadratic polynomial ax^2+bx+c two real roots a and b are such that a = -b then what should be the value of b?

Answer 1

SOLUTION

GIVEN

For a quadratic polynomial ax² + bx + c two real roots α and β are such that α = - β

TO DETERMINE

The value of b

CONCEPT TO BE IMPLEMENTED

If $\alpha \: \: and \: \: \beta \:$are the zeroes of the quadratic polynomial $a {x}^{2} + bx + c$

Then

$\displaystyle \sf{ \alpha + \beta \: = - \frac{b}{a} \: \: and \: \: \: \alpha \beta \: = \frac{c}{a}}$

EVALUATION

Here it is given that for a quadratic polynomial ax² + bx + c two real roots α and β are such that α = - β

So by the given condition

α = - β

⇒α + β = 0

⇒ Sum of the roots = 0

$\displaystyle \sf{ \implies \: - \frac{b}{a} = 0 }$

$\displaystyle \sf{ \implies \: b = 0 }$

FINAL ANSWER

Hence the required value of b = 0

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

1. Form a quadratic equation such that one of its roots is 5. Forma quadratic equation for it and write.

https://brainly.in/question/38226428

2. If p = 1 and q = –2 are roots of a quadratic equation, then quadratic equation will be

https://brainly.in/question/39283719