What is the answer to 8/((x+8)^2)=7 ?

The answer to 8/((x+8)^2)=7 is x=(2sqrt(2))/(sqrt(7))-8,x=-(2sqrt(2))/(sqrt(7))-8

Solve for x: 8/((x+8)^2)=7

The solution is x=(2sqrt(2))/(sqrt(7))-8,x=-(2sqrt(2))/(sqrt(7))-8

Popular >

\frac{8}{( x + 8 ) ^{2}} = 7

x = \frac{2 2}{7} - 8, x = - \frac{2 2}{7} - 8

Decimal Notation

x = - 6.93095 \dots, x = - 9.06904 \dots

Solution steps

\frac{8}{( x + 8 ) ^{2}} = 7

Multiply both sides by

(x + 8)^{2}

8 = 7 (x + 8)^{2}

Solve

8 = 7 (x + 8)^{2} : x = \frac{2 2}{7} - 8, x = - \frac{2 2}{7} - 8

x = \frac{2 2}{7} - 8, x = - \frac{2 2}{7} - 8

Verify Solutions

Find undefined (singularity) points:

x = - 8

Combine undefined points with solutions:

x = \frac{2 2}{7} - 8, x = - \frac{2 2}{7} - 8

8 - \frac{6}{x ^{2}} = 0

\frac{6 x + 6}{7 x + 5} = 2 - x

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

x^{2} - 2 x - 1 = \frac{1}{2 x - 3}

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

What is the answer to 8/((x+8)^2)=7 ?
The answer to 8/((x+8)^2)=7 is x=(2sqrt(2))/(sqrt(7))-8,x=-(2sqrt(2))/(sqrt(7))-8
Solve for x: 8/((x+8)^2)=7
The solution is x=(2sqrt(2))/(sqrt(7))-8,x=-(2sqrt(2))/(sqrt(7))-8