What is the answer to sqrt(42-22x)=2x ?

The answer to sqrt(42-22x)=2x is x= 3/2

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sqrt(42-22x)=2x

42 - 22 x = 2 x

x = \frac{3}{2}

Solution steps

42 - 22 x = 2 x

Square both sides:

42 - 22 x = 4 x^{2}

42 - 22 x = 4 x^{2}

Solve

42 - 22 x = 4 x^{2} : x = \frac{3}{2}, x = - 7

x = \frac{3}{2}, x = - 7

Verify Solutions:

x = \frac{3}{2}

True

, x = - 7

False

The solution is

x = \frac{3}{2}

2 x - 2 x + 1 = 1

x^{2} - 7 = 3

x - 3 + 1 = 5

16 - 32 x + 16 x^{2} = 36 - 4 x