Solve 19-5/2x^34 - ScanMath

Question

Simplify the expression

Solution

19 - 10 x^{3}

Evaluate

19 - \frac{5}{2} x^{3} \times 4

Solution

More Steps

Evaluate

\frac{5}{2} \times 4

Reduce the numbers

5 \times 2

Multiply the numbers

10

19 - 10 x^{3}

Show Solution

Find the roots

Find the roots of the algebra expression

x = \frac{3 1900}{10}

Alternative Form

x \approx 1.238562

Evaluate

19 - \frac{5}{2} x^{3} \times 4

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

19 - \frac{5}{2} x^{3} \times 4 = 0

Multiply the terms

More Steps

Multiply the terms

\frac{5}{2} x^{3} \times 4

Multiply the terms

More Steps

Evaluate

\frac{5}{2} \times 4

Reduce the numbers

5 \times 2

Multiply the numbers

10

10 x^{3}

19 - 10 x^{3} = 0

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

- 10 x^{3} = 0 - 19

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

- 10 x^{3} = - 19

Change the signs on both sides of the equation

10 x^{3} = 19

Divide both sides

\frac{10 x ^{3}}{10} = \frac{19}{10}

Divide the numbers

x^{3} = \frac{19}{10}

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

3 x^{3} = 3 \frac{19}{10}

Calculate

x = 3 \frac{19}{10}

Solution

More Steps

Evaluate

3 \frac{19}{10}

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

\frac{3 19}{3 10}

Multiply by the Conjugate

\frac{3 19 \times 3 1 0 ^{2}}{3 10 \times 3 1 0 ^{2}}

Simplify

\frac{3 19 \times 3 100}{3 10 \times 3 1 0 ^{2}}

Multiply the numbers

More Steps

Evaluate

319 \times 3100

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

3 19 \times 100

Calculate the product

31900

\frac{3 1900}{3 10 \times 3 1 0 ^{2}}

Multiply the numbers

More Steps

Evaluate

310 \times 3 1 0^{2}

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

3 10 \times 1 0^{2}

Calculate the product

3 1 0^{3}

Reduce the index of the radical and exponent with 3

10

\frac{3 1900}{10}

x = \frac{3 1900}{10}

Alternative Form

x \approx 1.238562

Show Solution

19 5/2x^34

Simplify the expression

Solution

Find the roots

Find the roots of the algebra expression