Question

Find the sum of roots of a quadratic equation x2+4x-32=0

Answer 1

Answer:

Step-by-step explanation:

X2+4x-32=0

×2=(2×4)-32=0

×1=(8+8)-32=0

×=16+16-32=0

×=32-32

×=0

Answer 2

The sum of roots of a quadratic equation is -4.

Step-by-step explanation:

Given : A quadratic equation $x^2+4x-32=0$

To find : The sum of roots of a quadratic equation ?

Solution :

General quadratic equation is in form $ax^2+bx+c=0$

Then the sum of roots a quadratic equation is $\alpha+\beta=-\frac{b}{a}$

So, Let $\alpha$ and $\beta$ are the roots of quadratic equation $x^2+4x-32=0$

here, a=1, b=4 and c=-32

Substitute,

$\alpha+\beta=-\frac{4}{1}$

$\alpha+\beta=-4$

Therefore, the sum of roots of a quadratic equation is -4.

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