Find the value of x for the given square.
(x^2- 4x)

x=2  √3  − 2 = 1.464101615

x=−2  √3  − 2 = −5.464101615

Step-by-step explanation:

 + 4x=8

Subtract 8 from both sides of the equation.

x^2  + 4x − 8 = 8 − 8

Subtracting 8 from itself leaves 0.

x^2   +4x−8=0

This equation is in standard form: ax  

2

+bx+c=0. Substitute 1 for a, 4 for b, and −8 for c in the quadratic formula,  

2a

−b±  

b  

2

−4ac

​  

​  

.

x=  

2

−4±  

4  

2

−4(−8)

​  

​  

Square 4.

x=  

2

−4±  

16−4(−8)

​  

​  

Multiply −4 times −8.

x=  

2

−4±  

16+32

​  

​  

Add 16 to 32.

x=  

2

−4±  

48

​  

​  

Take the square root of 48.

x=  

2

−4±4  

3

​  

​  

Now solve the equation x=  

2

−4±4  

3

​  

​  

 when ± is plus. Add −4 to 4  

3

​  

.

x=  

2

4  

3

​  

−4

​  

Divide −4+4  

3

​  

 by 2.

x=2  

3

​  

−2

Now solve the equation x=  

2

−4±4  

3

​  

​  

 when ± is minus. Subtract 4  

3

​  

 from −4.

x=  

2

−4  

3

​  

−4

​  

Divide −4−4  

3

​  

 by 2.

x=−2  

3

​  

−2

The equation is now solved.

x=2  

3

​  

−2

x=−2  

3

​  

−2

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