Question

Solve equation by completing the square round to the nearest hundredth if necessary X2-4x-=5

Answer 1

Answer:

x=-1 and x=5

Step-by-step explanation:

we have

$x^{2} -4x=5$

Solve it by completing the square method

We take the coefficient of x that is -4, divide it by 2 and then square it

so

$-\frac{4}{2}=-2$

square it

$(-2)^2 = 4$

Adds 4 both sides

$x^{2} -4x+4=5+4$

Combine like terms right side

$x^{2} -4x+4=9$

Rewrite as perfect squares

$(x-2)^{2}=9$

take square root both sides

$x-2=\pm3$

$x=2\pm3$

therefore

$x=2+3=5$

$x=2-3=-1$