Respuesta :

kudzordzifrancis
ANSWER

No solution

EXPLANATION

We want to find the number of solutions for

[tex] \sqrt{2x + 3} + 6 = 0[/tex]

Add -6 to both sides.

[tex] \sqrt{2x + 3} = - 6[/tex]

Square both sides

[tex]2x + 3 = 36[/tex]

Solve for x.

[tex]2x = 36 - 3[/tex]

[tex]2x = 33[/tex]

[tex]x = \frac{33}{2} [/tex]

[tex]x = 16.5[/tex]

Substitute back into the equation.

[tex] \sqrt{2(\frac{33}{2})+ 3} + 6 = 0[/tex]

[tex] \sqrt{33+ 3} + 6 = 0[/tex]

[tex] \sqrt{36} + 6 = 0[/tex]

[tex] 6+ 6 = 0[/tex]

[tex]12 = 0[/tex]

This is not true.

The equation has no solution

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