What is the answer to (-1)/(5-sqrt(1/3*x+1))=-17/10 ?

The answer to (-1)/(5-sqrt(1/3*x+1))=-17/10 is x= 16008/289

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Popular >

(-1)/(5-sqrt(1/3*x+1))=-17/10

Solution

\frac{- 1}{5 - \frac{1}{3} \cdot x + 1} = - \frac{17}{10}

Solution

x = \frac{16008}{289}

Decimal

x = 55.39100 \dots

Solution steps

\frac{- 1}{5 - \frac{1}{3} x + 1} = - \frac{17}{10}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(- 1) \cdot 10 = - (5 - \frac{1}{3} x + 1) \cdot 17

Expand

- (5 - \frac{1}{3} x + 1) \cdot 17 : - 85 + 17 \frac{1}{3} x + 1

(- 1) \cdot 10 = - 85 + 17 \frac{1}{3} x + 1

Switch sides

- 85 + 17 \frac{1}{3} x + 1 = (- 1) \cdot 10

Remove parentheses:

(- a) = - a

- 85 + 17 \frac{1}{3} x + 1 = - 1 \cdot 10

Multiply the numbers:

1 \cdot 10 = 10

- 85 + 17 \frac{1}{3} x + 1 = - 10

Move

85

to the right side

17 \frac{1}{3} x + 1 = 75

Divide both sides by

17

\frac{1}{3} x + 1 = \frac{75}{17}

Square both sides:

\frac{1}{3} x + 1 = \frac{5625}{289}

\frac{1}{3} x + 1 = \frac{5625}{289}

Solve

\frac{1}{3} x + 1 = \frac{5625}{289} : x = \frac{16008}{289}

x = \frac{16008}{289}

Verify Solutions:

x = \frac{16008}{289}

True

The solution is

x = \frac{16008}{289}

Graph

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5 x^{2} + 8 x + 10 = x^{4} + 4

[1.38(8+x)^{1/2}]-1=0

[1.38 (8 + x)^{\frac{1}{2}}] - 1 = 0

Frequently Asked Questions (FAQ)

What is the answer to (-1)/(5-sqrt(1/3*x+1))=-17/10 ?
The answer to (-1)/(5-sqrt(1/3*x+1))=-17/10 is x= 16008/289
Solve for x: (-1)/(5-sqrt(1/3*x+1))=-17/10
The solution is x= 16008/289

(-1)/(5-sqrt(1/3*x+1))=-17/10

Solution

Solution

Graph

Popular Examples

Frequently Asked Questions (FAQ)

What is the answer to (-1)/(5-sqrt(1/3*x+1))=-17/10 ?

Solve for x: (-1)/(5-sqrt(1/3*x+1))=-17/10