For quadratic equation ,find the sum of the root , the product of the root and the sum of the squares of the root. x^2+12x+32=0

Question

For quadratic equation ,find the sum of the root , the product of the root and the sum of the squares of the root. x²+12x+32=0

Answer 1

x^2 +12x +32 = 0

(x+8)(x+4) = 0

x =-4,-8= two roots

sum =-12

product = 32

sum of squares =16+64 = 80

Answer 2

Another way you can find the sum and the product of the roots is by using two little formulas.

The sum of the roots= -b/a and the product of the roots = c/a

for x^2 + 12x + 32 = 0.... a= 1 b = 12 and c = 32

sum= -12/1 product = 32/1

sum = -12 product = 32