Let's solve for the values of x that satisfy the following equation: √(x + 4) - 3 = x - 2.
Answer 1
Lisa Daniels
To solve the equation √(x + 4) – 3 = x – 2, first isolate the square root term: √(x + 4) = x + 1. Then, square both sides to eliminate the square root: x + 4 = (x + 1)². Simplify and solve the resulting quadratic equation: x² – x – 3 = 0. The solutions are x = 3 and x = -1. Verify both solutions in the original equation to ensure they are valid.
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