What is the answer to (4z^2+6)/(z^2)=11 ?

The answer to (4z^2+6)/(z^2)=11 is z=sqrt(6/7),z=-sqrt(6/7)

Solve for z: (4z^2+6)/(z^2)=11

The solution is z=sqrt(6/7),z=-sqrt(6/7)

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\frac{4 z ^{2} + 6}{z ^{2}} = 11

z = \frac{6}{7}, z = - \frac{6}{7}

Decimal Notation

z = 0.92582 \dots, z = - 0.92582 \dots

Solution steps

\frac{4 z ^{2} + 6}{z ^{2}} = 11

Multiply both sides by

z^{2}

4 z^{2} + 6 = 11 z^{2}

Solve

4 z^{2} + 6 = 11 z^{2} : z = \frac{6}{7}, z = - \frac{6}{7}

z = \frac{6}{7}, z = - \frac{6}{7}

Verify Solutions

Find undefined (singularity) points:

z = 0

Combine undefined points with solutions:

z = \frac{6}{7}, z = - \frac{6}{7}

\frac{( 4 x + 17 )}{18} - \frac{( 13 x - 2 )}{( 17 x - 32 )} + \frac{x}{3} = \frac{( 7 x )}{12} - \frac{( x + 16 )}{36}

\frac{1}{2 ( x + 5 ) ^{2} + 2} = 42.5

x^{- 3} = 2

x, \frac{y}{x} = 5

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

What is the answer to (4z^2+6)/(z^2)=11 ?
The answer to (4z^2+6)/(z^2)=11 is z=sqrt(6/7),z=-sqrt(6/7)
Solve for z: (4z^2+6)/(z^2)=11
The solution is z=sqrt(6/7),z=-sqrt(6/7)