Given:
[tex]x+4=\sqrt{5x+26}[/tex]Required:
We need to solve the given equation
Explanation:
take square both side
[tex]\begin{gathered} (x+4)^2=5x+26 \\ x^2+8x+16=5x=26 \\ x^2+3x-10=0 \end{gathered}[/tex]now use factorization method
[tex]\begin{gathered} x^{2}+3x-10=0 \\ x^2+5x-2x-10=0 \\ (x+5)(x-2)=0 \\ x=-5 \\ and \\ x=2 \end{gathered}[/tex]Final answer:
solution x=-5 and x=2