Question

if (25-4x^2)=(5+ax)(5-ax),find the positive value of a​

Answer 1

Answer:

Positive value of a = 2.

Step-by-step explanation:

Given :

$25 - 4 {x}^{2} = (5 - ax)(5 + ax) \\ => 25 - 4 {x}^{2} = 25 - {a}^{2} {x}^{2} \\ => - 4 {x}^{2} = - {a}^{2} {x}^{2} \\ => {a}^{2} = 4 \\ => a \: = 2$

Hence, the positive value of a = 2.