What is the answer to 5x^{1/2}=2x+2 ?

The answer to 5x^{1/2}=2x+2 is x=4,x= 1/4

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5x^{1/2}=2x+2

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

x = 4, x = \frac{1}{4}

Decimal Notation

x = 4, x = 0.25

Solution steps

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

Square both sides:

25 x = 4 x^{2} + 8 x + 4

25 x = 4 x^{2} + 8 x + 4

Solve

25 x = 4 x^{2} + 8 x + 4 : x = 4, x = \frac{1}{4}

x = 4, x = \frac{1}{4}

Verify Solutions:

x = 4

True

, x = \frac{1}{4}

True

The solutions are

x = 4, x = \frac{1}{4}

x + 5 - 2 x - 7 = 2

3 x^{2} + 3 x - 2 + 2 x^{2} + 2 x - 3 = x^{2} + x + 1

x, x^{\frac{2}{3}} + y^{\frac{2}{3}} = a^{\frac{2}{3}}

x + 2 = 2 x + 1

x - 1 - 2 x + 1 = 0