Solve r^2223-1 - ScanMath

Question

Simplify the expression

223 r^{2} - 1

Evaluate

r^{2} \times 223 - 1

Solution

223 r^{2} - 1

Show Solution

r_{1} = - \frac{223}{223}, r_{2} = \frac{223}{223}

Alternative Form

r_{1} \approx - 0.066965, r_{2} \approx 0.066965

Evaluate

r^{2} \times 223 - 1

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

r^{2} \times 223 - 1 = 0

Use the commutative property to reorder the terms

223 r^{2} - 1 = 0

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

223 r^{2} = 0 + 1

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

223 r^{2} = 1

Divide both sides

\frac{223 r ^{2}}{223} = \frac{1}{223}

Divide the numbers

r^{2} = \frac{1}{223}

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

r = \pm \frac{1}{223}

Simplify the expression

More Steps

Evaluate

\frac{1}{223}

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

\frac{1}{223}

Simplify the radical expression

\frac{1}{223}

Multiply by the Conjugate

\frac{223}{223 \times 223}

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

\frac{223}{223}

r = \pm \frac{223}{223}

Separate the equation into 2 possible cases

r = \frac{223}{223} r = - \frac{223}{223}

Solution

r_{1} = - \frac{223}{223}, r_{2} = \frac{223}{223}

Alternative Form

r_{1} \approx - 0.066965, r_{2} \approx 0.066965

Show Solution