What is the answer to (8x^2-16)^{1/2}=2x ?

The answer to (8x^2-16)^{1/2}=2x is x=2

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(8x^2-16)^{1/2}=2x

(8 x^{2} - 16)^{\frac{1}{2}} = 2 x

x = 2

Solution steps

(8 x^{2} - 16)^{\frac{1}{2}} = 2 x

Square both sides:

8 x^{2} - 16 = 4 x^{2}

8 x^{2} - 16 = 4 x^{2}

Solve

8 x^{2} - 16 = 4 x^{2} : x = 2, x = - 2

x = 2, x = - 2

Verify Solutions:

x = 2

True

, x = - 2

False

The solution is

x = 2

k + 9 = 8

2 - x = 0

x^{\frac{1}{2}} = 5

x - 2 = 0

x + 6 - x = 0

What is the answer to (8x^2-16)^{1/2}=2x ?
The answer to (8x^2-16)^{1/2}=2x is x=2
Solve for x: (8x^2-16)^{1/2}=2x
The solution is x=2