What is the answer to 2+(4x-15)/((x-4)^2)=0 ?

The answer to 2+(4x-15)/((x-4)^2)=0 is x=(6+sqrt(2))/2 ,x=(6-sqrt(2))/2

Solve for x: 2+(4x-15)/((x-4)^2)=0

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

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2 + \frac{4 x - 15}{( x - 4 ) ^{2}} = 0

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

Decimal Notation

x = 3.70710 \dots, x = 2.29289 \dots

Solution steps

2 + \frac{4 x - 15}{( x - 4 ) ^{2}} = 0

Multiply both sides by

(x - 4)^{2}

2 (x - 4)^{2} + 4 x - 15 = 0

Solve

2 (x - 4)^{2} + 4 x - 15 = 0 : x = \frac{6 + 2}{2}, x = \frac{6 - 2}{2}

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

Verify Solutions

Find undefined (singularity) points:

x = 4

Combine undefined points with solutions:

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

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

- \frac{5}{( x - 2 ) ^{2}} = 0

\frac{1}{x - 1} = x + 1

\frac{x - 6}{x - 2} = - \frac{9}{x}

\frac{8}{3 x} = 1

What is the answer to 2+(4x-15)/((x-4)^2)=0 ?
The answer to 2+(4x-15)/((x-4)^2)=0 is x=(6+sqrt(2))/2 ,x=(6-sqrt(2))/2
Solve for x: 2+(4x-15)/((x-4)^2)=0
The solution is x=(6+sqrt(2))/2 ,x=(6-sqrt(2))/2