Solve (x 1,5x-0,5=0)

Evaluate

x \times 1, 5 x - 0, 5 = 0

Multiply

More Steps

1, 5 x^{2} - 0, 5 = 0

Convert the decimal into a fraction

More Steps

\frac{3}{2} x^{2} - \frac{1}{2} = 0

Add or subtract both sides

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

Divide both sides

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

Divide the numbers

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

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

x = \pm \frac{1}{3}

Simplify the expression

x = \pm \frac{3}{3}

Separate the equation into 2 possible cases

x = \frac{3}{3} x = - \frac{3}{3}

Solution

x_{1} = - \frac{3}{3}, x_{2} = \frac{3}{3}

Alternative Form

x_{1} \approx - 0, 57735, x_{2} \approx 0, 57735

Solve the quadratic equation