Solve r^4512-9 - ScanMath

Question

Simplify the expression

512 r^{4} - 9

Show Solution

r_{1} = - \frac{4 72}{8}, r_{2} = \frac{4 72}{8}

Alternative Form

r_{1} \approx - 0.364119, r_{2} \approx 0.364119

Evaluate

r^{4} \times 512 - 9

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

r^{4} \times 512 - 9 = 0

Use the commutative property to reorder the terms

512 r^{4} - 9 = 0

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

512 r^{4} = 0 + 9

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

512 r^{4} = 9

Divide both sides

\frac{512 r ^{4}}{512} = \frac{9}{512}

Divide the numbers

r^{4} = \frac{9}{512}

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

r = \pm 4 \frac{9}{512}

Simplify the expression

More Steps

r = \pm \frac{4 72}{8}

Separate the equation into 2 possible cases

r = \frac{4 72}{8} r = - \frac{4 72}{8}

Solution

r_{1} = - \frac{4 72}{8}, r_{2} = \frac{4 72}{8}

Alternative Form

r_{1} \approx - 0.364119, r_{2} \approx 0.364119

Show Solution