Question

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

Answer 1

Answer:x=14.35

Explanation:

Given

`√(2x)+15=x+6`

`√(2x)=x-9`

Squaring Both sides

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

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

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

`x=(20\pm √(20^2-4* 81))/(2)`

`x=(20\pm 8.717)/(2)`

`x=5.64, 14.35`

For x=5.64 value of
`√(2x)= negative`

therefore x=5.64 is not a root of equation