Solve 285-55r^22 - ScanMath

Question

Simplify the expression

285 - 110 r^{2}

Evaluate

285 - 55 r^{2} \times 2

Solution

285 - 110 r^{2}

Show Solution

5 (57 - 22 r^{2})

Evaluate

285 - 55 r^{2} \times 2

Multiply the terms

285 - 110 r^{2}

Solution

5 (57 - 22 r^{2})

Show Solution

r_{1} = - \frac{1254}{22}, r_{2} = \frac{1254}{22}

Alternative Form

r_{1} \approx - 1.60963, r_{2} \approx 1.60963

Evaluate

285 - 55 r^{2} \times 2

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

285 - 55 r^{2} \times 2 = 0

Multiply the terms

285 - 110 r^{2} = 0

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

- 110 r^{2} = 0 - 285

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

- 110 r^{2} = - 285

Change the signs on both sides of the equation

110 r^{2} = 285

Divide both sides

\frac{110 r ^{2}}{110} = \frac{285}{110}

Divide the numbers

r^{2} = \frac{285}{110}

Cancel out the common factor 5

r^{2} = \frac{57}{22}

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

r = \pm \frac{57}{22}

Simplify the expression

More Steps

Evaluate

\frac{57}{22}

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

\frac{57}{22}

Multiply by the Conjugate

\frac{57 \times 22}{22 \times 22}

Multiply the numbers

More Steps

Evaluate

57 \times 22

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

57 \times 22

Calculate the product

1254

\frac{1254}{22 \times 22}

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

\frac{1254}{22}

r = \pm \frac{1254}{22}

Separate the equation into 2 possible cases

r = \frac{1254}{22} r = - \frac{1254}{22}

Solution

r_{1} = - \frac{1254}{22}, r_{2} = \frac{1254}{22}

Alternative Form

r_{1} \approx - 1.60963, r_{2} \approx 1.60963

Show Solution