Question

If (25-4x²) = (5+ax) (5-ax) let's find the positive value of a.​

Answer 1

Answer:

$25 - 4 {x}^{2} = 5 + ax \times 5 - ax \\ 25 - 4 {x}^{2} = 25 - a {x }^{2} \\ 4 {x }^{2} = {a}^{2} {x }^{2} \\ {a }^{2} = 4 \\ a = 2$

Answer 2

Step-by-step explanation:

(25-4x²) = (5+ax)*(5-ax)

25-4x² = 5² - a²x²

-4x² = 25 -25 -a²x²

-4 = a²x² -x² (+25-25 = 0)

a² = 4 (x²-x²=0)

a = 2 Ans