Solve.
Square root of 3x+4=x
square both sides. Then, solve the quadratic.
can you show me the work
Can you show me the work because i still cant figure it out.
To solve the equation √(3x+4) = x, we need to isolate the variable x.
Step 1: Square both sides of the equation to eliminate the square root:
(√(3x+4))^2 = x^2
Simplifying, we get:
3x+4 = x^2
Step 2: Rearrange the equation to bring all terms to one side:
x^2 - 3x - 4 = 0
Step 3: Factorize the quadratic equation or use the quadratic formula to find the values of x.
In this case, the equation can be factored as:
(x-4)(x+1) = 0
Step 4: Set each factor equal to zero and solve for x:
x - 4 = 0 or x + 1 = 0
Solving each equation:
x = 4 or x = -1
Therefore, the solutions to the equation √(3x+4) = x are x = 4 and x = -1.