Question

Find the sum and product of the roots.

2x^2 + 6x - 8 = 0

Answer 1

2x^2 - 2x +8x -8 = 0
2x ( x - 1 ) + 8 ( x - 1) = 0
2x-8 = 0 ; x-1= 0
x= 4 ; or 1

Answer 2

u need not do the full solution

For a quadratic equation,

- (Coefficient of x) - (b) - (6)
Sum of roots = --------------------- = -------- = ------- = -3
Coefficient of x^2 a 2

Constant Term c -8
Product of roots = ------------------ = ------- = ------- = -4
Coefficient of x^2 a 2

Answer 3

you do not need to solve for the roots to answer this question, although the above answers are correct. you have
\[x^2+3x-4=0\] so produce of two roots is -4 and sum of two roots is -3

Answer 4

Yes, asadkarim made a small mistake in his calculation, which is why those don't agree with the above.