Answer:
Step-by-step explanation:
(a +b)² = a² +2ab +b²
2ab = 5x
2*x*b = 5x
b =5x/2x
b=5/2
x² + 5x = 0
Add (25/4) to both sides
[tex]x^{2}+5x+\frac{25}{4}=\frac{25}{4}\\\\(x+\frac{5}{2})^{2}=(\frac{5}{2})^{2}\\\\[/tex]
Take square root both the sides,
[tex]\sqrt{(x+\frac{5}{2})^{2}} =\sqrt{(\frac{5}{2})^{2}}\\\\[/tex]
[tex]x+\frac{5}{2}=[/tex] ±[tex]\frac{5}{2}[/tex]
[tex]x= -\frac{5}{2}+\frac{5}{2} ; x= -\frac{5}{2}-{\frac{5}{2}\\\\x=0 ;x=\frac{-10}{2}=-5[/tex]
Solution: x = 0 or -5
