What is the answer to b/(4sqrt(b-8)-3)=17 ?

The answer to b/(4sqrt(b-8)-3)=17 is b=17(133+4sqrt(1097)),b=17(133-4sqrt(1097))

Solve for b: b/(4sqrt(b-8)-3)=17

The solution is b=17(133+4sqrt(1097)),b=17(133-4sqrt(1097))

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\frac{b}{4 b - 8 - 3} = 17

b = 17 (133 + 41097), b = 17 (133 - 41097)

Decimal Notation

b = 4513.22734 \dots, b = 8.77265 \dots

Solution steps

\frac{b}{4 b - 8 - 3} = 17

Multiply both sides by

4 b - 8 - 3

\frac{b}{4 b - 8 - 3} (4 b - 8 - 3) = 17 (4 b - 8 - 3)

Simplify

b = 17 (4 b - 8 - 3)

Expand

17 (4 b - 8 - 3) : 68 b - 8 - 51

b = 68 b - 8 - 51

Remove square roots

b^{2} + 102 b + 2601 = 4624 b - 36992

Solve

b^{2} + 102 b + 2601 = 4624 b - 36992 : b = 17 (133 + 41097), b = 17 (133 - 41097)

b = 17 (133 + 41097), b = 17 (133 - 41097)

Verify Solutions:

b = 17 (133 + 41097)

True

, b = 17 (133 - 41097)

True

The solutions are

b = 17 (133 + 41097), b = 17 (133 - 41097)

2 x - \frac{1}{x ^{\frac{1}{2}}} = 0

3 q + 2 = 5

\frac{1}{4} x - 3 - 5 = - 3

1.5 = 2.18 (x - 1.72)^{\frac{3}{2}}

- x^{2} + 4 x = 0

What is the answer to b/(4sqrt(b-8)-3)=17 ?
The answer to b/(4sqrt(b-8)-3)=17 is b=17(133+4sqrt(1097)),b=17(133-4sqrt(1097))
Solve for b: b/(4sqrt(b-8)-3)=17
The solution is b=17(133+4sqrt(1097)),b=17(133-4sqrt(1097))