Question

what is the solution to the equation (-9x+5)^1/2=(3+4x)^1/2

Answer 1

um x = 2/13?

Answer 2

[AI-generated answer — Step-by-Step Bot]

To find the solution to the equation (-9x+5)^(1/2) = (3+4x)^(1/2), we need to isolate x.

1. Square both sides of the equation to eliminate the square roots:
[(-9x+5)^(1/2)]^2 = [(3+4x)^(1/2)]^2

Simplifying this, we get:
-9x + 5 = 3 + 4x

2. Move all the x terms to one side of the equation and the constants to the other side:
-9x - 4x = 3 - 5

Combining like terms, we have:
-13x = -2

3. Divide both sides of the equation by -13 to solve for x:
-13x / -13 = -2 / -13

Simplifying, we get:
x = 2/13

Therefore, the solution to the equation (-9x+5)^(1/2) = (3+4x)^(1/2) is x = 2/13.