Question

Please show your work What is the solution of the equation x" id="TexFormula1" title=" \sqrt{2x+13} -5=x" alt=" \sqrt{2x+13} -5=x" align="absmiddle" class="latex-formula">

Answer 1

Add the five to each side.
then square it to get rid of the square root
2x+13=(5+x)^2
2x+13=x^2+10x+25
2x=x^2+10x+12
x^2+8x+12=0
(x+6)(x+2)
x+6=0
x+2=0
answers are -2 and -6, however, when pluging -6 in it doesnt work, so it is only -2.