Question

What is the solution of the equation 5x= square root 10+15x

Answer 1

The answer to your question is x=1

Answer 2

The solution of the equation is
`x=1`

Explanation:

we have

`5x=√(10+15x)`

squared both sides

`25x^(2)=10+15x`

`25x^(2)-15x-10=0`

Using a graphing tool------> to resolve the quadratic equation

The solution of the quadratic equation are

`x=-0.4,x=1`

see the attached figure

Substitute in the original equation to verify the solution

For
`x=-0.4`

`5(-0.4)=√(10+15(-0.4))`

`-2=√(4)`

`-2=2` -----> is not true

For
`x=1`

`5(1)=√(10+15(1))`

`5=√(25)`

`5=5` -----> is true

therefore

The solution of the equation is
`x=1`