Question

Consider the radical equation (3√6-x)+4=-8. Solve the equation. Next to each step, write a description of what is being done.

Answer 1

`x = 12+3√(6)`

Explanation:

Given equation,

`(3√(6)-x)+4=-8`

By subtraction property of equality,

`-x + 4 = -8-3√(6)`

By subtraction property of equality,

`-x=-8-3√(6)-4`

Combining like terms,

`-x = -12 - 3√(6)`

Divide both sides by -1,

`\implies x = 12+3√(6)`