Question

Find the solution to the equation x- square root of 8x+15=0?

Answer 1

`\color(fuchsia)\text(Edited )`answer
`x=4-\sqrt(31)`, `x=4+\sqrt(31)`

`\color(teal)\text(Original )`answer
`x=-15/8 or x=-1 7/8`

Explanation:

`\color(fuchsia)\text(Edited )`solution

Assuming you meant `x-sqrt(8x+15)=0`

• Identify square root
  `x-\color(crimson)(sqrt(8x+15))=0`
• Move the red part to the right side
  `x=\color(crimson)(\sqrt(8x+15))`
• Now, let's square both both sides
  `x^2=(sqrt(8x+15))^2`
  `x^2=8x+15`
• Move everything to the left
  `x^2-(8x+15)=0`
  `x^2-8x-15=0`
• Solve quadratic (see steps here)
  `x=4\pm\sqrt(31)`
  also written as `x=4-\sqrt(31)`, `x=4+\sqrt(31)`

`\color(teal)\text(Original )`solution

Assuming you meant `sqrt(8x+15)=0`

Now, let's square both both sides

`8x+15=0`

`8x=-15`

`x=-15/8 or x=-1 7/8` (Which are the same things)