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

The answer to 2sqrt(x+3)-3= x/2 is x=6,x=-2

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

2 x + 3 - 3 = \frac{x}{2}

x = 6, x = - 2

Solution steps

2 x + 3 - 3 = \frac{x}{2}

Multiply both sides by

2

2 x + 3 \cdot 2 - 3 \cdot 2 = \frac{x}{2} \cdot 2

Simplify

4 x + 3 - 6 = x

Remove square roots

16 x + 48 = x^{2} + 12 x + 36

Solve

16 x + 48 = x^{2} + 12 x + 36 : x = 6, x = - 2

x = 6, x = - 2

Verify Solutions:

x = 6

True

, x = - 2

True

The solutions are

x = 6, x = - 2

c + 22 = c + 2

3 x + 10 + 1 = 5 x + 11

x - 2 = 11 x + 4

x^{- \frac{2}{3}} = 7 \frac{1}{9}

5 x + 9 + 3 = x

What is the answer to 2sqrt(x+3)-3= x/2 ?
The answer to 2sqrt(x+3)-3= x/2 is x=6,x=-2
Solve for x: 2sqrt(x+3)-3= x/2
The solution is x=6,x=-2