QuestionDecember 16, 2025

Find the solution(s) to each equation, or explain why there is no solution. sqrt (x+4)+7=5

Find the solution(s) to each equation, or explain why there is no solution. sqrt (x+4)+7=5
Find the solution(s) to each equation, or explain why there is no solution.
sqrt (x+4)+7=5

Solution
4.7(255 votes)

Answer

No solution Explanation 1. Isolate the square root Subtract 7 from both sides: \sqrt{x+4} = 5 - 7 = -2 2. Analyze the square root equation The square root function \sqrt{y} is only defined for y \geq 0 and always yields a non-negative result. Thus, \sqrt{x+4} = -2 has no real solution.

Explanation

1. Isolate the square root<br /> Subtract 7 from both sides: $\sqrt{x+4} = 5 - 7 = -2$<br />2. Analyze the square root equation<br /> The square root function $\sqrt{y}$ is only defined for $y \geq 0$ and always yields a non-negative result. Thus, $\sqrt{x+4} = -2$ has no real solution.
Click to rate: