Question

answer for that question plz​

Answer 1

Step-by-step explanation:

Given -

p(x) = 3x² - 12x + 15

To Find -

Value of α² + β²

Now,

3x² - 12x + 15 = 0

here,

a = 3

b = -12

c = 15

• α+ β = -b/a

» α + β = -(-12)/3

» α + β = 12/3

• » α + β = 4

And

• αβ = c/a

» αβ = 15/3

• » αβ = 5

Squaring Both sides of α + β = 4

» (α + β)² = (4)²

» α² + β² + 2αβ = 16

Substituting value of αβ

» α² + β² + 2(5) = 16

» α² + β² + 10 = 16

» α² + β² = 16 - 10

• » α² + β² = 6

Hence,

The value of α² + β² is 6

Answer 2

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