Question

Solve x²+5x=0 by completing square ​

Answer 1

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

$x^{2}+5x+\frac{25}{4}=\frac{25}{4}\\\\(x+\frac{5}{2})^{2}=(\frac{5}{2})^{2}$

Take square root both the sides,

$\sqrt{(x+\frac{5}{2})^{2}} =\sqrt{(\frac{5}{2})^{2}}$

$x+\frac{5}{2}=$ ±$\frac{5}{2}$

$x= -\frac{5}{2}+\frac{5}{2} ; x= -\frac{5}{2}-{\frac{5}{2}\\\\x=0 ;x=\frac{-10}{2}=-5$

Solution: x = 0 or -5

Answer 2

Answer:

x= 0

x=−5

Step-by-step explanation:

x^2+5x=0

Factor out x.

x(x+5)=0

Factor out x = 0 and x +5 = 0

x=0

x=−5

Mark me as brainliest