Question

if alpha and beta are two zeros of quadratic polynomial 2 x square - 3 x + 7 evaluate Alpha square + beta square​

Answer 1

Step-by-step explanation:

here is your answer

I hope this would help you

Answer 2

Answer:

-19/4

Step-by-step explanation:

Given that ∝ and β are the zeroes of Quadratic Polynomial,

p(x) = 2x^2 - 3x + 7

We know,  ∝ + β = -(Coefficient of x) / coefficient of x^2

                   ∝β = Constant Term / coefficient of x^2

Hence, here   ∝ + β = -(-3) / 2 = 3/2

                        ∝β = 7/2

By Identity, (a+b)^2 = a^2 + b^2 + 2ab

(∝ + β)^2 = ∝^2 + β^2 + 2∝β

( 3/2)^2 = ∝^2 + β^2 + 2 (7/2)

∝^2 + β^2 = 9/4 - 7

∝^2 + β^2 = 9- 28 / 4

∴ ∝^2 + β^2 = -19/4

Hope this helps you..!!