Question

Number of solutions for square root of 2x +3 add 6 = 0

Answer 1

ANSWER

No solution

Step-by-step explanation

We want to find the number of solutions for


`√(2x + 3) + 6 = 0`

Add -6 to both sides.


`√(2x + 3) = - 6`

Square both sides


`2x + 3 = 36`

Solve for x.


`2x = 36 - 3`


`2x = 33`


`x = (33)/(2)`


`x = 16.5`

Substitute back into the equation.


`\sqrt{2((33)/(2))+ 3} + 6 = 0`


`√(33+ 3) + 6 = 0`


`√(36) + 6 = 0`


`6+ 6 = 0`


`12 = 0`

This is not true.

The equation has no solution