Question

√2x+27-4 = 1
Solve for x

Answer 1

x = -1

Explanation:

You want the solution to √(2x +27) -4 = 1.

Radical equation

In general, a radical equation is solved by isolating the radical, then raising the equation to a power that makes the radical disappear. Here, that means we will want to square both sides of the equation after we add 4.

`√(2x+27)-4=1\\\\√(2x+27)=5\qquad\text{add 4}\\\\2x+27=25\qquad\text{square both sides}\\\\2x=-2\qquad\text{subtract 27}\\\\\boxed{x=-1}\qquad\text{divide by 2}`

The value of x that makes this true is -1.

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