Solve r^4304-9 - ScanMath

Question

Simplify the expression

304 r^{4} - 9

Show Solution

r_{1} = - \frac{4 61731}{38}, r_{2} = \frac{4 61731}{38}

Alternative Form

r_{1} \approx - 0.414803, r_{2} \approx 0.414803

Evaluate

r^{4} \times 304 - 9

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

r^{4} \times 304 - 9 = 0

Use the commutative property to reorder the terms

304 r^{4} - 9 = 0

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

304 r^{4} = 0 + 9

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

304 r^{4} = 9

Divide both sides

\frac{304 r ^{4}}{304} = \frac{9}{304}

Divide the numbers

r^{4} = \frac{9}{304}

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

r = \pm 4 \frac{9}{304}

Simplify the expression

More Steps

r = \pm \frac{4 61731}{38}

Separate the equation into 2 possible cases

r = \frac{4 61731}{38} r = - \frac{4 61731}{38}

Solution

r_{1} = - \frac{4 61731}{38}, r_{2} = \frac{4 61731}{38}

Alternative Form

r_{1} \approx - 0.414803, r_{2} \approx 0.414803

Show Solution