Solve 102x^3=1 x - ScanMath

Question

Solve the equation

x_{1} = - \frac{102}{102}, x_{2} = 0, x_{3} = \frac{102}{102}

Alternative Form

x_{1} \approx - 0.099015, x_{2} = 0, x_{3} \approx 0.099015

Evaluate

102 x^{3} = 1 \times x

Any expression multiplied by 1 remains the same

102 x^{3} = x

Add or subtract both sides

102 x^{3} - x = 0

Factor the expression

x (102 x^{2} - 1) = 0

Separate the equation into 2 possible cases

x = 0 102 x^{2} - 1 = 0

Solve the equation

More Steps

Evaluate

102 x^{2} - 1 = 0

Move the constant to the right-hand side and change its sign

102 x^{2} = 0 + 1

Removing 0 doesn't change the value,so remove it from the expression

102 x^{2} = 1

Divide both sides

\frac{102 x ^{2}}{102} = \frac{1}{102}

Divide the numbers

x^{2} = \frac{1}{102}

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

x = \pm \frac{1}{102}

Simplify the expression

More Steps

Evaluate

\frac{1}{102}

To take a root of a fraction,take the root of the numerator and denominator separately

\frac{1}{102}

Simplify the radical expression

\frac{1}{102}

Multiply by the Conjugate

\frac{102}{102 \times 102}

When a square root of an expression is multiplied by itself,the result is that expression

\frac{102}{102}

x = \pm \frac{102}{102}

Separate the equation into 2 possible cases

x = \frac{102}{102} x = - \frac{102}{102}

x = 0 x = \frac{102}{102} x = - \frac{102}{102}

Solution

x_{1} = - \frac{102}{102}, x_{2} = 0, x_{3} = \frac{102}{102}

Alternative Form

x_{1} \approx - 0.099015, x_{2} = 0, x_{3} \approx 0.099015

Show Solution