What is the answer to 5/(x-4)-2sqrt(x-4)+3=0 ?

The answer to 5/(x-4)-2sqrt(x-4)+3=0 is x\approx 8.32064…

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5/(x-4)-2sqrt(x-4)+3=0

\frac{5}{x - 4} - 2 x - 4 + 3 = 0

x \approx 8.32064 \dots

Solution steps

\frac{5}{x - 4} - 2 x - 4 + 3 = 0

Multiply both sides by

x - 4

\frac{5}{x - 4} (x - 4) - 2 x - 4 (x - 4) + 3 (x - 4) = 0 \cdot (x - 4)

Simplify

5 - 2 x - 4 (x - 4) + 3 (x - 4) = 0

Expand

5 - 2 x - 4 (x - 4) + 3 (x - 4) : 3 x - 2 x - 4 x + 8 x - 4 - 7

3 x - 2 x - 4 x + 8 x - 4 - 7 = 0

Move

3 x

to the right side

- 2 x - 4 x + 8 x - 4 - 7 = - 3 x

Move

7

to the right side

- 2 x - 4 x + 8 x - 4 = - 3 x + 7

Factor

- 2 x - 4 x + 8 x - 4 : 2 x - 4 (- x + 4)

2 x - 4 (- x + 4) = - 3 x + 7

Square both sides:

4 x^{3} - 48 x^{2} + 192 x - 256 = 9 x^{2} - 42 x + 49

4 x^{3} - 48 x^{2} + 192 x - 256 = 9 x^{2} - 42 x + 49

Solve

4 x^{3} - 48 x^{2} + 192 x - 256 = 9 x^{2} - 42 x + 49 : x \approx 8.32064 \dots

x \approx 8.32064 \dots

Verify Solutions:

x \approx 8.32064 \dots

True

The solution is

x \approx 8.32064 \dots

(6 x + 1)^{\frac{1}{2}} = 5

16 r + 8 = 12

x, f = 4 - x^{2} U

x^{3} = 32 x

x, x^{- \frac{1}{3}} = 5

What is the answer to 5/(x-4)-2sqrt(x-4)+3=0 ?
The answer to 5/(x-4)-2sqrt(x-4)+3=0 is x\approx 8.32064…
Solve for x: 5/(x-4)-2sqrt(x-4)+3=0
The solution is x\approx 8.32064…