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Sophie [7]
3 years ago
8

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

Mathematics
1 answer:
kipiarov [429]3 years ago
6 0

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

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