What is the answer to 1/(2sqrt(x+9))= 1/8 ?

The answer to 1/(2sqrt(x+9))= 1/8 is x=7

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1/(2sqrt(x+9))= 1/8

\frac{1}{2 x + 9} = \frac{1}{8}

x = 7

Solution steps

\frac{1}{2 x + 9} = \frac{1}{8}

Apply fraction cross multiply: if

\frac{a}{b} = \frac{c}{d}

then

a \cdot d = b \cdot c

1 \cdot 8 = 2 x + 9 \cdot 1

Expand

2 x + 9 \cdot 1 : 2 x + 9

1 \cdot 8 = 2 x + 9

Switch sides

2 x + 9 = 1 \cdot 8

Multiply the numbers:

1 \cdot 8 = 8

2 x + 9 = 8

Divide both sides by

2

x + 9 = 4

Square both sides:

x + 9 = 16

x + 9 = 16

Solve

x + 9 = 16 : x = 7

x = 7

Verify Solutions:

x = 7

True

The solution is

x = 7

2 x - 3 = 11

y, 3 x^{2} + 3 y^{2} = 1

2 x - 1 = 0

x - 6 = x - 4

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

What is the answer to 1/(2sqrt(x+9))= 1/8 ?
The answer to 1/(2sqrt(x+9))= 1/8 is x=7
Solve for x: 1/(2sqrt(x+9))= 1/8
The solution is x=7