%5E1%2F2%3D(3%2B4x)%5E1%2F2.jpeg "(-9x+5)^1/2=(3+4x)^1/2")
Solving the Equation (-9x + 5)^(1/2) = (3 + 4x)^(1/2)
In this article, we will discuss the equation (-9x + 5)^(1/2) = (3 + 4x)^(1/2) and explore the steps to solve it.
Understanding the Equation
The equation (-9x + 5)^(1/2) = (3 + 4x)^(1/2) is a simple equation involving square roots. To solve this equation, we need to isolate the variable x.
Step 1: Simplify the Equation
First, let's simplify the equation by squaring both sides:
(-9x + 5) = (3 + 4x)
Step 2: Expand the Equation
Now, let's expand the equation by multiplying both sides with their respective binomials:
9x - 45 = 12 + 16x
Step 3: Combine Like Terms
Next, combine like terms on both sides of the equation:
-45 = 12 + 7x
Step 4: Isolate the Variable
Now, let's isolate the variable x by subtracting 12 from both sides:
-57 = 7x
Step 5: Solve for x
Finally, divide both sides by 7 to solve for x:
x = -57/7
Conclusion
Therefore, the solution to the equation (-9x + 5)^(1/2) = (3 + 4x)^(1/2) is x = -57/7.
