Question

please answer my question

Answer 1

(1/4+1/7)/2 = 11/56 ..... hope it is correct and helps you

Answer 2

Answer:

m = 2

Step-by-step explanation:

Given Equation is (m² + 4)x² + 65x + 4m.

Here, a = (m² + 4), b = 65, c = 4m.

Let α be one root. Then its reciprocal = (1/α)

(i) Product of roots

We know that product of roots = c/a

α * 1/α = 4m/(m² + 4)

⇒ 1 = 4m/(m² + 4)

⇒ m² + 4 = 4m

⇒ m² - 4m + 4 = 0

⇒ (m - 2)² = 0

⇒ m - 2 = 0

⇒ m = 2.

Therefore, the value of m = 2.

Hope it helps!