Solve x 1/65*2/64 = x^3/63*4/62

Question

Solve the equation

x_{1} = - \frac{3 14105}{520}, x_{2} = 0, x_{3} = \frac{3 14105}{520}

Alternative Form

x_{1} \approx - 0.68518, x_{2} = 0, x_{3} \approx 0.68518

Evaluate

x \times \frac{1}{65} \times \frac{2}{64} = \frac{x ^{3}}{63} \times \frac{4}{62}

Simplify

More Steps

\frac{1}{2080} x = \frac{x ^{3}}{63} \times \frac{4}{62}

Simplify

More Steps

\frac{1}{2080} x = \frac{2 x ^{3}}{1953}

Rewrite the expression

\frac{x}{2080} = \frac{2 x ^{3}}{1953}

Cross multiply

x \times 1953 = 2080 \times 2 x^{3}

Simplify the equation

1953 x = 2080 \times 2 x^{3}

Simplify the equation

1953 x = 4160 x^{3}

Add or subtract both sides

1953 x - 4160 x^{3} = 0

Factor the expression

x (1953 - 4160 x^{2}) = 0

Separate the equation into 2 possible cases

x = 0 1953 - 4160 x^{2} = 0

Solve the equation

More Steps

x = 0 x = \frac{3 14105}{520} x = - \frac{3 14105}{520}

Solution

x_{1} = - \frac{3 14105}{520}, x_{2} = 0, x_{3} = \frac{3 14105}{520}

Alternative Form

x_{1} \approx - 0.68518, x_{2} = 0, x_{3} \approx 0.68518

Show Solution