Solve 2=11345x^2=763

Question

Solve the system of equations

x \in \emptyset

Alternative Form

No solution

Evaluate

{2 = 11345 x^{2} 11345 x^{2} = 763

Calculate

More Steps

Evaluate

2 = 11345 x^{2}

Swap the sides of the equation

11345 x^{2} = 2

Divide both sides

\frac{11345 x ^{2}}{11345} = \frac{2}{11345}

Divide the numbers

x^{2} = \frac{2}{11345}

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

x = \pm \frac{2}{11345}

Simplify the expression

More Steps

Evaluate

\frac{2}{11345}

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

\frac{2}{11345}

Multiply by the Conjugate

\frac{2 \times 11345}{11345 \times 11345}

Multiply the numbers

\frac{22690}{11345 \times 11345}

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

\frac{22690}{11345}

x = \pm \frac{22690}{11345}

Separate the equation into 2 possible cases

x = \frac{22690}{11345} \cup x = - \frac{22690}{11345}

{x = \frac{22690}{11345} \cup x = - \frac{22690}{11345} 11345 x^{2} = 763

Calculate

More Steps

Evaluate

11345 x^{2} = 763

Divide both sides

\frac{11345 x ^{2}}{11345} = \frac{763}{11345}

Divide the numbers

x^{2} = \frac{763}{11345}

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

x = \pm \frac{763}{11345}

Simplify the expression

More Steps

Evaluate

\frac{763}{11345}

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

\frac{763}{11345}

Multiply by the Conjugate

\frac{763 \times 11345}{11345 \times 11345}

Multiply the numbers

\frac{8656235}{11345 \times 11345}

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

\frac{8656235}{11345}

x = \pm \frac{8656235}{11345}

Separate the equation into 2 possible cases

x = \frac{8656235}{11345} \cup x = - \frac{8656235}{11345}

{x = \frac{22690}{11345} \cup x = - \frac{22690}{11345} x = \frac{8656235}{11345} \cup x = - \frac{8656235}{11345}

Solution

x \in \emptyset

Alternative Form

No solution

Show Solution