What is the answer to 4x+sqrt(2-x)=3 ?

The answer to 4x+sqrt(2-x)=3 is x= 7/16

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4x+sqrt(2-x)=3

4 x + 2 - x = 3

x = \frac{7}{16}

Decimal Notation

x = 0.4375

Solution steps

4 x + 2 - x = 3

Remove square roots

2 - x = 9 - 24 x + 16 x^{2}

Solve

2 - x = 9 - 24 x + 16 x^{2} : x = 1, x = \frac{7}{16}

x = 1, x = \frac{7}{16}

Verify Solutions:

x = 1

False

, x = \frac{7}{16}

True

The solution is

x = \frac{7}{16}

3 x + 6 = 3

x, x + y = 3

3 x = 2

x - 40 - 3 x = 0

a^{- \frac{6}{8}} = 0.001