Solve c^334-100 - ScanMath

Question

Simplify the expression

34 c^{3} - 100

Evaluate

c^{3} \times 34 - 100

Solution

34 c^{3} - 100

Show Solution

2 (17 c^{3} - 50)

Evaluate

c^{3} \times 34 - 100

Use the commutative property to reorder the terms

34 c^{3} - 100

Solution

2 (17 c^{3} - 50)

Show Solution

c = \frac{3 14450}{17}

Alternative Form

c \approx 1.432761

Evaluate

c^{3} \times 34 - 100

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

c^{3} \times 34 - 100 = 0

Use the commutative property to reorder the terms

34 c^{3} - 100 = 0

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

34 c^{3} = 0 + 100

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

34 c^{3} = 100

Divide both sides

\frac{34 c ^{3}}{34} = \frac{100}{34}

Divide the numbers

c^{3} = \frac{100}{34}

Cancel out the common factor 2

c^{3} = \frac{50}{17}

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

3 c^{3} = 3 \frac{50}{17}

Calculate

c = 3 \frac{50}{17}

Solution

More Steps

Evaluate

3 \frac{50}{17}

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

\frac{3 50}{3 17}

Multiply by the Conjugate

\frac{3 50 \times 3 1 7 ^{2}}{3 17 \times 3 1 7 ^{2}}

Simplify

\frac{3 50 \times 3 289}{3 17 \times 3 1 7 ^{2}}

Multiply the numbers

More Steps

Evaluate

350 \times 3289

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

3 50 \times 289

Calculate the product

314450

\frac{3 14450}{3 17 \times 3 1 7 ^{2}}

Multiply the numbers

More Steps

Evaluate

317 \times 3 1 7^{2}

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

3 17 \times 1 7^{2}

Calculate the product

3 1 7^{3}

Reduce the index of the radical and exponent with 3

17

\frac{3 14450}{17}

c = \frac{3 14450}{17}

Alternative Form

c \approx 1.432761

Show Solution