Question

please help me out it's of class x

Answer 1

MARK IT AS BRAINLIEST !!!!

Answer 2

Answer:

2

Step-by-step explanation:

Given Equation is kx² + 5x + 2.

Here, a = k, b = 5, c = 2

Given that α,β are the roots of the equation.

(i) Sum of roots:

α + β = -b/a

α + β = -5/k

(ii) Product of roots:

αβ = c/a

αβ = 2/k

Now,

Given: (1/α²) + (1/β²) = 17/4

⇒ (α² +  β²)/(αβ)² = 17/4

⇒ [(α + β)² - 2αβ]/(αβ)² = 17/4

⇒ [(25/k²) - 4/k]/(4/k²) = 17/4

⇒ 4(25/k² - 4/k) = 17(4/k²)

⇒ 4(25/k² - 4/k)k² = 68

⇒ 100 - 16k = 68

⇒ -16k = -32

⇒ k = 2.

Therefore, the value of k = 2.

Hope it helps!