Solve 45r^506-6080

Question

Simplify the expression

270 r^{5} - 6080

Show Solution

10 (27 r^{5} - 608)

Show Solution

r = \frac{2 5 171}{3}

Alternative Form

r \approx 1.864266

Evaluate

45 r^{5} \times 6 - 6080

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

45 r^{5} \times 6 - 6080 = 0

Multiply the terms

270 r^{5} - 6080 = 0

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

270 r^{5} = 0 + 6080

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

270 r^{5} = 6080

Divide both sides

\frac{270 r ^{5}}{270} = \frac{6080}{270}

Divide the numbers

r^{5} = \frac{6080}{270}

Cancel out the common factor 10

r^{5} = \frac{608}{27}

Take the 5 -th root on both sides of the equation

5 r^{5} = 5 \frac{608}{27}

Calculate

r = 5 \frac{608}{27}

Solution

More Steps

r = \frac{2 5 171}{3}

Alternative Form

r \approx 1.864266

Show Solution