Solve r^236-1 - ScanMath

Question

Simplify the expression

36 r^{2} - 1

Evaluate

r^{2} \times 36 - 1

Solution

36 r^{2} - 1

Show Solution

(6 r - 1) (6 r + 1)

Evaluate

r^{2} \times 36 - 1

Use the commutative property to reorder the terms

36 r^{2} - 1

Rewrite the expression in exponential form

(6 r)^{2} - 1^{2}

Solution

(6 r - 1) (6 r + 1)

Show Solution

r_{1} = - \frac{1}{6}, r_{2} = \frac{1}{6}

Alternative Form

r_{1} = - 0.1 \dot{6}, r_{2} = 0.1 \dot{6}

Evaluate

r^{2} \times 36 - 1

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

r^{2} \times 36 - 1 = 0

Use the commutative property to reorder the terms

36 r^{2} - 1 = 0

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

36 r^{2} = 0 + 1

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

36 r^{2} = 1

Divide both sides

\frac{36 r ^{2}}{36} = \frac{1}{36}

Divide the numbers

r^{2} = \frac{1}{36}

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

r = \pm \frac{1}{36}

Simplify the expression

More Steps

Evaluate

\frac{1}{36}

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

\frac{1}{36}

Simplify the radical expression

\frac{1}{36}

Simplify the radical expression

More Steps

Evaluate

36

Write the number in exponential form with the base of 6

6^{2}

Reduce the index of the radical and exponent with 2

6

\frac{1}{6}

r = \pm \frac{1}{6}

Separate the equation into 2 possible cases

r = \frac{1}{6} r = - \frac{1}{6}

Solution

r_{1} = - \frac{1}{6}, r_{2} = \frac{1}{6}

Alternative Form

r_{1} = - 0.1 \dot{6}, r_{2} = 0.1 \dot{6}

Show Solution