Solve m^2 17m-16 - ScanMath

Question

Simplify the expression

17 m^{3} - 16

Evaluate

m^{2} \times 17 m - 16

Solution

More Steps

Evaluate

m^{2} \times 17 m

Multiply the terms with the same base by adding their exponents

m^{2 + 1} \times 17

Add the numbers

m^{3} \times 17

Use the commutative property to reorder the terms

17 m^{3}

17 m^{3} - 16

Show Solution

m = \frac{2 3 578}{17}

Alternative Form

m \approx 0.979995

Evaluate

m^{2} \times 17 m - 16

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

m^{2} \times 17 m - 16 = 0

Multiply

More Steps

Multiply the terms

m^{2} \times 17 m

Multiply the terms with the same base by adding their exponents

m^{2 + 1} \times 17

Add the numbers

m^{3} \times 17

Use the commutative property to reorder the terms

17 m^{3}

17 m^{3} - 16 = 0

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

17 m^{3} = 0 + 16

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

17 m^{3} = 16

Divide both sides

\frac{17 m ^{3}}{17} = \frac{16}{17}

Divide the numbers

m^{3} = \frac{16}{17}

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

3 m^{3} = 3 \frac{16}{17}

Calculate

m = 3 \frac{16}{17}

Solution

More Steps

Evaluate

3 \frac{16}{17}

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

\frac{3 16}{3 17}

Simplify the radical expression

More Steps

Evaluate

316

Write the expression as a product where the root of one of the factors can be evaluated

3 8 \times 2

Write the number in exponential form with the base of 2

3 2^{3} \times 2

The root of a product is equal to the product of the roots of each factor

3 2^{3} \times 32

Reduce the index of the radical and exponent with 3

232

\frac{2 3 2}{3 17}

Multiply by the Conjugate

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

Simplify

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

Multiply the numbers

More Steps

Evaluate

32 \times 3289

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

3 2 \times 289

Calculate the product

3578

\frac{2 3 578}{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{2 3 578}{17}

m = \frac{2 3 578}{17}

Alternative Form

m \approx 0.979995

Show Solution