Question

If alpha and beta are the roots of the equation x square - 12 x + 32 is equal to zero then find the value of alpha square + beta square upon alpha + beta.

Answer 1

Equation :x²-12x+32=0

we can predict the sum and product of zeros without funding them

1. alpha+beta = -b/a

2. alpha×beta = c/a

here a = 1 , b = -12 , c = 32 (all are coefficients of equation)

alpha + beta = -(-12/1)

= 12

now (alpha+beta)² = 12²

= 144

the value of alpha square + beta square upon alpha + beta.

=12¹⁴⁴

that is ur answer bro...