Solve (11z)/16 (7z)/8 = 5/16

Evaluate

\frac{11 z}{16} \times \frac{7 z}{8} = \frac{5}{16}

Multiply the terms

More Steps

\frac{77 z ^{2}}{128} = \frac{5}{16}

Multiply both sides

77 z^{2} = 40

Divide both sides

\frac{77 z ^{2}}{77} = \frac{40}{77}

Divide the numbers

z^{2} = \frac{40}{77}

Take the root of both sides of the equation and remember to use both positive and negative roots

z = \pm \frac{40}{77}

Simplify the expression

z = \pm \frac{2 770}{77}

Separate the equation into 2 possible cases

z = \frac{2 770}{77} z = - \frac{2 770}{77}

Solution

z_{1} = - \frac{2 770}{77}, z_{2} = \frac{2 770}{77}

Alternative Form

z_{1} \approx - 0.72075, z_{2} \approx 0.72075

Solve the quadratic equation