Solve 53c^2c-17 - ScanMath

Question

Simplify the expression

53 c^{3} - 17

Evaluate

53 c^{2} \times c - 17

Solution

More Steps

Evaluate

53 c^{2} \times c

Multiply the terms with the same base by adding their exponents

53 c^{2 + 1}

Add the numbers

53 c^{3}

53 c^{3} - 17

Show Solution

c = \frac{3 47753}{53}

Alternative Form

c \approx 0.684528

Evaluate

53 c^{2} \times c - 17

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

53 c^{2} \times c - 17 = 0

Multiply

More Steps

Multiply the terms

53 c^{2} \times c

Multiply the terms with the same base by adding their exponents

53 c^{2 + 1}

Add the numbers

53 c^{3}

53 c^{3} - 17 = 0

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

53 c^{3} = 0 + 17

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

53 c^{3} = 17

Divide both sides

\frac{53 c ^{3}}{53} = \frac{17}{53}

Divide the numbers

c^{3} = \frac{17}{53}

Take the 3 -th root on both sides of the equation

3 c^{3} = 3 \frac{17}{53}

Calculate

c = 3 \frac{17}{53}

Solution

More Steps

Evaluate

3 \frac{17}{53}

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

\frac{3 17}{3 53}

Multiply by the Conjugate

\frac{3 17 \times 3 5 3 ^{2}}{3 53 \times 3 5 3 ^{2}}

Simplify

\frac{3 17 \times 3 2809}{3 53 \times 3 5 3 ^{2}}

Multiply the numbers

More Steps

Evaluate

317 \times 32809

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

3 17 \times 2809

Calculate the product

347753

\frac{3 47753}{3 53 \times 3 5 3 ^{2}}

Multiply the numbers

More Steps

Evaluate

353 \times 3 5 3^{2}

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

3 53 \times 5 3^{2}

Calculate the product

3 5 3^{3}

Reduce the index of the radical and exponent with 3

53

\frac{3 47753}{53}

c = \frac{3 47753}{53}

Alternative Form

c \approx 0.684528

Show Solution