Solve r^2924-62020

Question

Simplify the expression

924 r^{2} - 62020

Evaluate

r^{2} \times 924 - 62020

Solution

924 r^{2} - 62020

Show Solution

28 (33 r^{2} - 2215)

Evaluate

r^{2} \times 924 - 62020

Use the commutative property to reorder the terms

924 r^{2} - 62020

Solution

28 (33 r^{2} - 2215)

Show Solution

r_{1} = - \frac{73095}{33}, r_{2} = \frac{73095}{33}

Alternative Form

r_{1} \approx - 8.192754, r_{2} \approx 8.192754

Evaluate

r^{2} \times 924 - 62020

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

r^{2} \times 924 - 62020 = 0

Use the commutative property to reorder the terms

924 r^{2} - 62020 = 0

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

924 r^{2} = 0 + 62020

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

924 r^{2} = 62020

Divide both sides

\frac{924 r ^{2}}{924} = \frac{62020}{924}

Divide the numbers

r^{2} = \frac{62020}{924}

Cancel out the common factor 28

r^{2} = \frac{2215}{33}

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

r = \pm \frac{2215}{33}

Simplify the expression

More Steps

Evaluate

\frac{2215}{33}

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

\frac{2215}{33}

Multiply by the Conjugate

\frac{2215 \times 33}{33 \times 33}

Multiply the numbers

More Steps

Evaluate

2215 \times 33

The product of roots with the same index is equal to the root of the product

2215 \times 33

Calculate the product

73095

\frac{73095}{33 \times 33}

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

\frac{73095}{33}

r = \pm \frac{73095}{33}

Separate the equation into 2 possible cases

r = \frac{73095}{33} r = - \frac{73095}{33}

Solution

r_{1} = - \frac{73095}{33}, r_{2} = \frac{73095}{33}

Alternative Form

r_{1} \approx - 8.192754, r_{2} \approx 8.192754

Show Solution