What is the answer to (4x(5-x)-1)/(2-35-x)=0 ?

The answer to (4x(5-x)-1)/(2-35-x)=0 is x=(5-2sqrt(6))/2 ,x=(5+2sqrt(6))/2

Solve for x: (4x(5-x)-1)/(2-35-x)=0

The solution is x=(5-2sqrt(6))/2 ,x=(5+2sqrt(6))/2

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\frac{4 x ( 5 - x ) - 1}{2 - 35 - x} = 0

x = \frac{5 - 2 6}{2}, x = \frac{5 + 2 6}{2}

Decimal Notation

x = 0.05051 \dots, x = 4.94948 \dots

Solution steps

\frac{4 x ( 5 - x ) - 1}{2 - 35 - x} = 0

Simplify

\frac{4 x ( 5 - x ) - 1}{2 - 35 - x} : \frac{4 x ( 5 - x ) - 1}{- x - 33}

\frac{4 x ( 5 - x ) - 1}{- x - 33} = 0

\frac{f ( x )}{g ( x )} = 0 \Rightarrow f (x) = 0

4 x (5 - x) - 1 = 0

Solve

4 x (5 - x) - 1 = 0 : x = \frac{5 - 2 6}{2}, x = \frac{5 + 2 6}{2}

x = \frac{5 - 2 6}{2}, x = \frac{5 + 2 6}{2}

Verify Solutions

Find undefined (singularity) points:

x = - 33

Combine undefined points with solutions:

x = \frac{5 - 2 6}{2}, x = \frac{5 + 2 6}{2}

(\frac{x + 5}{x}) = 3 e

\frac{x ^{2} + 5 x + 2}{x + 2} = 3

\frac{12}{b} - 3 = \frac{6}{b} + 4

28 = \frac{2100 - x}{x} 100

\frac{1}{2 x + \frac{3}{2} x} = 4044

What is the answer to (4x(5-x)-1)/(2-35-x)=0 ?
The answer to (4x(5-x)-1)/(2-35-x)=0 is x=(5-2sqrt(6))/2 ,x=(5+2sqrt(6))/2
Solve for x: (4x(5-x)-1)/(2-35-x)=0
The solution is x=(5-2sqrt(6))/2 ,x=(5+2sqrt(6))/2