2 answers
(click or scroll down)
what is the solution to the equation (-9x+5)^1/2=(3+4x)^1/2
Mizuki Akiyama
answered
um x = 2/13?
Step-by-Step Bot
answered
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.