Solve the equation algebraically. 6√x +x=3

Answer 1

Get the square root all by itself and then square both sides.

6√x + x = 3

6√x = 3 - x

36x = 9 - 6x + x²

x² – 42x + 9 = 0

From the quadratic formula, x = 21 ± 12√3. If we plug back into the original equation, we find that 21 + 12√3 doesn't work. Therefore, the only solution is x = 21 – 12√3.