How do I solve this? (1/36)x^2 - (9/25)?

Answer 1

(1/36)x^2 - (9/25)

Factor

((1/6)x - (3/5))((1/6)x + (3/5))
.

Answer 2

Since this is not an equation, you cannot exactly solve it. I will give a solution for (1/36)x^2 - (9/25) = 0.

Add (9/25) to both sides:
(1/36)x^2 = 9/25
Multiply both sides by 36:
x^2 = 324/25
Square root both sides:
x = 18/5
Recall that when taking the square root, the negative answer also works, so:
x = -18/5

Therefore, x = 18/5, -18/5.

Answer 3

(1/36) x^2 = (x/6)^2 and (9/25) =(3/5)^2
formula a^2-b^2 = (a-b) (a+b)
your expression becomes (x/6-3/5) (x/6+3/5)

Isuppose you search the roots (x/6-3/5) =0
x/6=3/5 x= 18/5= 3.6
you find easily that the second root is -3.6

Answer 4

(1/36) x^2 = 9/25

Then multiply each side by the reciprical of (1/36) which is 36.
x^2 = 9/25(36)
x^2 = 12.96
Then take the square root of each side.
x = 3.6

Answer 5

(1/36)x^2 = 9/25
x^2 = (9/25) * 36
x^2 = 324/25
x = +/- 18/5 = +/- 3-3/5

Answer 6

Take square root on both sides,
Its an identity :

a^2 - b^2 = (a + b)(a - b)

So u get: (x/6 + 3/5)(x/6 - 3/5)

Answer 7

is there any more details included?
1/36= 6^-2

and thats all i know