Solve 22202-2r^22

Question

Simplify the expression

22202 - 4 r^{2}

Evaluate

22202 - 2 r^{2} \times 2

Solution

22202 - 4 r^{2}

Show Solution

2 (11101 - 2 r^{2})

Evaluate

22202 - 2 r^{2} \times 2

Multiply the terms

22202 - 4 r^{2}

Solution

2 (11101 - 2 r^{2})

Show Solution

r_{1} = - \frac{22202}{2}, r_{2} = \frac{22202}{2}

Alternative Form

r_{1} \approx - 74.501678, r_{2} \approx 74.501678

Evaluate

22202 - 2 r^{2} \times 2

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

22202 - 2 r^{2} \times 2 = 0

Multiply the terms

22202 - 4 r^{2} = 0

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

- 4 r^{2} = 0 - 22202

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

- 4 r^{2} = - 22202

Change the signs on both sides of the equation

4 r^{2} = 22202

Divide both sides

\frac{4 r ^{2}}{4} = \frac{22202}{4}

Divide the numbers

r^{2} = \frac{22202}{4}

Cancel out the common factor 2

r^{2} = \frac{11101}{2}

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

r = \pm \frac{11101}{2}

Simplify the expression

More Steps

Evaluate

\frac{11101}{2}

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

\frac{11101}{2}

Multiply by the Conjugate

\frac{11101 \times 2}{2 \times 2}

Multiply the numbers

More Steps

Evaluate

11101 \times 2

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

11101 \times 2

Calculate the product

22202

\frac{22202}{2 \times 2}

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

\frac{22202}{2}

r = \pm \frac{22202}{2}

Separate the equation into 2 possible cases

r = \frac{22202}{2} r = - \frac{22202}{2}

Solution

r_{1} = - \frac{22202}{2}, r_{2} = \frac{22202}{2}

Alternative Form

r_{1} \approx - 74.501678, r_{2} \approx 74.501678

Show Solution