Question

How do you solve `sqrt( 2x - 2 ) + sqrt( 7x + 4 ) = sqrt( 13x + 10)`?

Answer 1

`x=3`

Explanation:

Squaring the given equation

`2x-2+7x+4+2sqrt(2x-2)sqrt(7x+4)=13x+10`

`sqrt(2x-2)sqrt(7x+4)=2x+4`

squaring again and simplifying we get

`x^2-11/5x-12/5=0`
solving this equation we get

`x_1=3`
`x_2=-4/5` which is not a solution!