What is the answer to sqrt(x/2+1)= 2/3 ?

The answer to sqrt(x/2+1)= 2/3 is x=-10/9

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sqrt(x/2+1)= 2/3

\frac{x}{2} + 1 = \frac{2}{3}

x = - \frac{10}{9}

Decimal Notation

x = - 1.11111 \dots

Solution steps

\frac{x}{2} + 1 = \frac{2}{3}

Square both sides:

\frac{x}{2} + 1 = \frac{4}{9}

\frac{x}{2} + 1 = \frac{4}{9}

Solve

\frac{x}{2} + 1 = \frac{4}{9} : x = - \frac{10}{9}

x = - \frac{10}{9}

Verify Solutions:

x = - \frac{10}{9}

True

The solution is

x = - \frac{10}{9}

6 x + 46 = x + 9

50 - 7 x = x - 8

8 x - 48 - 15 = - 11

2 x + 6 + 1 = x

What is the answer to sqrt(x/2+1)= 2/3 ?
The answer to sqrt(x/2+1)= 2/3 is x=-10/9
Solve for x: sqrt(x/2+1)= 2/3
The solution is x=-10/9