Question

Solve √2x+15=x+6. Verify the solution(s).

Answer 1

Answer:x=14.35

Step-by-step explanation:

Given

$\sqrt{2x}+15=x+6$

$\sqrt{2x}=x-9$

Squaring Both sides

$2x=\left ( x-9\right )^2$

$2x=x^2+81-18x$

$x^2-20x+81=0$

$x=\frac{20\pm \sqrt{20^2-4\times 81}}{2}$

$x=\frac{20\pm 8.717}{2}$

$x=5.64, 14.35$

For x=5.64 value of $\sqrt{2x}= negative$

therefore x=5.64 is not a root of equation