Question

√2x-7+X= 5

Solve the equation with work shown below

Answer 1

`x=12(\sqrt2-1)`

Explanation:

The given equation is :

`√(2) x-7+x=5`

Add 7 to both sides of the equation.

`√(2) x-7+x+7=5+7\\\\√(2) x+x=12`

Taking x common from both sides of the equation.

`x(√(2) +1)=12\\\\x=(12)/(\sqrt2+1)`

Multiplying both numerator and denominator by
`\sqrt2-1`

`x=(12)/(\sqrt2+1)* (\sqrt2-1)/(\sqrt2-1)\\\\=(12(\sqrt2-1))/(2-1)\\\\=12(\sqrt2-1)`

Hence, the value of x is
`12(\sqrt2-1)`.