What is the answer to (5x^2-4)^{1/2}=2x ?

The answer to (5x^2-4)^{1/2}=2x is x=2

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(5x^2-4)^{1/2}=2x

(5 x^{2} - 4)^{\frac{1}{2}} = 2 x

x = 2

Solution steps

(5 x^{2} - 4)^{\frac{1}{2}} = 2 x

Square both sides:

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

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

Solve

5 x^{2} - 4 = 4 x^{2} : x = 2, x = - 2

x = 2, x = - 2

Verify Solutions:

x = 2

True

, x = - 2

False

The solution is

x = 2

7 = - 3 x - 11 - 3

x + 2 = x + 6

a, x = a + b

x + 2 = 0

x + 3 = 0

What is the answer to (5x^2-4)^{1/2}=2x ?
The answer to (5x^2-4)^{1/2}=2x is x=2
Solve for x: (5x^2-4)^{1/2}=2x
The solution is x=2