Solve 64x x /100 = 43

Evaluate

64 x \times \frac{x}{100} = 43

Multiply the terms

More Steps

\frac{16 x ^{2}}{25} = 43

Multiply both sides

16 x^{2} = 1075

Divide both sides

\frac{16 x ^{2}}{16} = \frac{1075}{16}

Divide the numbers

x^{2} = \frac{1075}{16}

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

x = \pm \frac{1075}{16}

Simplify the expression

x = \pm \frac{5 43}{4}

Separate the equation into 2 possible cases

x = \frac{5 43}{4} x = - \frac{5 43}{4}

Solution

x_{1} = - \frac{5 43}{4}, x_{2} = \frac{5 43}{4}

Alternative Form

x_{1} \approx - 8.196798, x_{2} \approx 8.196798

Solve the quadratic equation