Solve r^5522-r1 - ScanMath

Question

Simplify the expression

Solution

522 r^{5} - r

Evaluate

r^{5} \times 522 - r \times 1

Use the commutative property to reorder the terms

522 r^{5} - r \times 1

Solution

522 r^{5} - r

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Factor

r (522 r^{4} - 1)

Evaluate

r^{5} \times 522 - r \times 1

Use the commutative property to reorder the terms

522 r^{5} - r \times 1

Any expression multiplied by 1 remains the same

522 r^{5} - r

Rewrite the expression

r \times 522 r^{4} - r

Solution

r (522 r^{4} - 1)

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Find the roots of the algebra expression

r_{1} = - \frac{4 52 2 ^{3}}{522}, r_{2} = 0, r_{3} = \frac{4 52 2 ^{3}}{522}

Alternative Form

r_{1} \approx - 0.20921, r_{2} = 0, r_{3} \approx 0.20921

Evaluate

r^{5} \times 522 - r \times 1

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

r^{5} \times 522 - r \times 1 = 0

Use the commutative property to reorder the terms

522 r^{5} - r \times 1 = 0

Any expression multiplied by 1 remains the same

522 r^{5} - r = 0

Factor the expression

r (522 r^{4} - 1) = 0

Separate the equation into 2 possible cases

r = 0 522 r^{4} - 1 = 0

Solve the equation

More Steps

Evaluate

522 r^{4} - 1 = 0

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

522 r^{4} = 0 + 1

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

522 r^{4} = 1

Divide both sides

\frac{522 r ^{4}}{522} = \frac{1}{522}

Divide the numbers

r^{4} = \frac{1}{522}

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

r = \pm 4 \frac{1}{522}

Simplify the expression

More Steps

Evaluate

4 \frac{1}{522}

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

\frac{4 1}{4 522}

Simplify the radical expression

\frac{1}{4 522}

Multiply by the Conjugate

\frac{4 52 2 ^{3}}{4 522 \times 4 52 2 ^{3}}

Multiply the numbers

\frac{4 52 2 ^{3}}{522}

r = \pm \frac{4 52 2 ^{3}}{522}

Separate the equation into 2 possible cases

r = \frac{4 52 2 ^{3}}{522} r = - \frac{4 52 2 ^{3}}{522}

r = 0 r = \frac{4 52 2 ^{3}}{522} r = - \frac{4 52 2 ^{3}}{522}

Solution

r_{1} = - \frac{4 52 2 ^{3}}{522}, r_{2} = 0, r_{3} = \frac{4 52 2 ^{3}}{522}

Alternative Form

r_{1} \approx - 0.20921, r_{2} = 0, r_{3} \approx 0.20921

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