What is the answer to 2x+sqrt(5-2x)=3 ?

The answer to 2x+sqrt(5-2x)=3 is x= 1/2

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2x+sqrt(5-2x)=3

2 x + 5 - 2 x = 3

x = \frac{1}{2}

Decimal Notation

x = 0.5

Solution steps

2 x + 5 - 2 x = 3

Remove square roots

5 - 2 x = 9 - 12 x + 4 x^{2}

Solve

5 - 2 x = 9 - 12 x + 4 x^{2} : x = 2, x = \frac{1}{2}

x = 2, x = \frac{1}{2}

Verify Solutions:

x = 2

False

, x = \frac{1}{2}

True

The solution is

x = \frac{1}{2}

k^{2} - 2 k + 1 - 1 = 2 k

20 - x = - x

G (x) = x^{2} - 81

\frac{x}{10} = 1