What is the answer to sqrt(48-26x)=2x ?

The answer to sqrt(48-26x)=2x is x= 3/2

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sqrt(48-26x)=2x

48 - 26 x = 2 x

x = \frac{3}{2}

Decimal Notation

x = 1.5

Solution steps

48 - 26 x = 2 x

Square both sides:

48 - 26 x = 4 x^{2}

48 - 26 x = 4 x^{2}

Solve

48 - 26 x = 4 x^{2} : x = \frac{3}{2}, x = - 8

x = \frac{3}{2}, x = - 8

Verify Solutions:

x = \frac{3}{2}

True

, x = - 8

False

The solution is

x = \frac{3}{2}

x + 12 - x - 4 = 2

x - 5 + x = 5

x^{2} + 2 x - 15 = 2 (x + 5) x

3 x + 1 = 11

5 = 3 x - 2