Solve 275/55-r^22

Question

Simplify the expression

5 - 2 r^{2}

Evaluate

\frac{275}{55} - r^{2} \times 2

Divide the terms

More Steps

Evaluate

\frac{275}{55}

Reduce the numbers

\frac{5}{1}

Calculate

5

5 - r^{2} \times 2

Solution

5 - 2 r^{2}

Show Solution

r_{1} = - \frac{10}{2}, r_{2} = \frac{10}{2}

Alternative Form

r_{1} \approx - 1.581139, r_{2} \approx 1.581139

Evaluate

\frac{275}{55} - r^{2} \times 2

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

\frac{275}{55} - r^{2} \times 2 = 0

Divide the terms

More Steps

Evaluate

\frac{275}{55}

Reduce the numbers

\frac{5}{1}

Calculate

5

5 - r^{2} \times 2 = 0

Use the commutative property to reorder the terms

5 - 2 r^{2} = 0

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

- 2 r^{2} = 0 - 5

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

- 2 r^{2} = - 5

Change the signs on both sides of the equation

2 r^{2} = 5

Divide both sides

\frac{2 r ^{2}}{2} = \frac{5}{2}

Divide the numbers

r^{2} = \frac{5}{2}

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

r = \pm \frac{5}{2}

Simplify the expression

More Steps

Evaluate

\frac{5}{2}

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

\frac{5}{2}

Multiply by the Conjugate

\frac{5 \times 2}{2 \times 2}

Multiply the numbers

More Steps

Evaluate

5 \times 2

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

5 \times 2

Calculate the product

10

\frac{10}{2 \times 2}

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

\frac{10}{2}

r = \pm \frac{10}{2}

Separate the equation into 2 possible cases

r = \frac{10}{2} r = - \frac{10}{2}

Solution

r_{1} = - \frac{10}{2}, r_{2} = \frac{10}{2}

Alternative Form

r_{1} \approx - 1.581139, r_{2} \approx 1.581139

Show Solution