Question

α and β are the zeros of the polynomial 2x²+7x-3, then the value of α square plus β square is:

1 point

Answer 1

ANSWER.

• α² + β² = 15.25

SOLUTION.

Given -

→ f(x) = 2x² + 7x - 3

Comparing with ax² + bx + c = 0, we get,

→ a = 2

→ b = 7

→ c = -3

We know that,

→ α + β = -b/a and,

→ αβ = c/a

Here,

→ α + β = -(7)/2 = -7/2

→ αβ = c/a = -3/2

Therefore,

α² + β²

= (α + β)² - 2αβ

= (-7/2)² - 2 × (-3/2)

= 49/4 + 6/2

= (49 + 12)/4

= 61/4

= 15.25 Which is our required answer.