Solve r^2313-1 - ScanMath

Question

Simplify the expression

313 r^{2} - 1

Evaluate

r^{2} \times 313 - 1

Solution

313 r^{2} - 1

Show Solution

r_{1} = - \frac{313}{313}, r_{2} = \frac{313}{313}

Alternative Form

r_{1} \approx - 0.056523, r_{2} \approx 0.056523

Evaluate

r^{2} \times 313 - 1

To find the roots of the expression,set the expression equal to 0

r^{2} \times 313 - 1 = 0

Use the commutative property to reorder the terms

313 r^{2} - 1 = 0

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

313 r^{2} = 0 + 1

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

313 r^{2} = 1

Divide both sides

\frac{313 r ^{2}}{313} = \frac{1}{313}

Divide the numbers

r^{2} = \frac{1}{313}

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

r = \pm \frac{1}{313}

Simplify the expression

More Steps

Evaluate

\frac{1}{313}

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

\frac{1}{313}

Simplify the radical expression

\frac{1}{313}

Multiply by the Conjugate

\frac{313}{313 \times 313}

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

\frac{313}{313}

r = \pm \frac{313}{313}

Separate the equation into 2 possible cases

r = \frac{313}{313} r = - \frac{313}{313}

Solution

r_{1} = - \frac{313}{313}, r_{2} = \frac{313}{313}

Alternative Form

r_{1} \approx - 0.056523, r_{2} \approx 0.056523

Show Solution