Solve r^4228-4 - ScanMath

Question

Simplify the expression

228 r^{4} - 4

Evaluate

r^{4} \times 228 - 4

Solution

228 r^{4} - 4

Show Solution

4 (57 r^{4} - 1)

Evaluate

r^{4} \times 228 - 4

Use the commutative property to reorder the terms

228 r^{4} - 4

Solution

4 (57 r^{4} - 1)

Show Solution

r_{1} = - \frac{4 5 7 ^{3}}{57}, r_{2} = \frac{4 5 7 ^{3}}{57}

Alternative Form

r_{1} \approx - 0.363941, r_{2} \approx 0.363941

Evaluate

r^{4} \times 228 - 4

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

r^{4} \times 228 - 4 = 0

Use the commutative property to reorder the terms

228 r^{4} - 4 = 0

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

228 r^{4} = 0 + 4

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

228 r^{4} = 4

Divide both sides

\frac{228 r ^{4}}{228} = \frac{4}{228}

Divide the numbers

r^{4} = \frac{4}{228}

Cancel out the common factor 4

r^{4} = \frac{1}{57}

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

r = \pm 4 \frac{1}{57}

Simplify the expression

More Steps

Evaluate

4 \frac{1}{57}

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

\frac{4 1}{4 57}

Simplify the radical expression

\frac{1}{4 57}

Multiply by the Conjugate

\frac{4 5 7 ^{3}}{4 57 \times 4 5 7 ^{3}}

Multiply the numbers

More Steps

Evaluate

457 \times 4 5 7^{3}

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

4 57 \times 5 7^{3}

Calculate the product

4 5 7^{4}

Reduce the index of the radical and exponent with 4

57

\frac{4 5 7 ^{3}}{57}

r = \pm \frac{4 5 7 ^{3}}{57}

Separate the equation into 2 possible cases

r = \frac{4 5 7 ^{3}}{57} r = - \frac{4 5 7 ^{3}}{57}

Solution

r_{1} = - \frac{4 5 7 ^{3}}{57}, r_{2} = \frac{4 5 7 ^{3}}{57}

Alternative Form

r_{1} \approx - 0.363941, r_{2} \approx 0.363941

Show Solution