Solve 15-4x^3 (62)*x^2

Question

Simplify the expression

15 - 248 x^{5}

Evaluate

15 - 4 x^{3} \times 62 x^{2}

Solution

More Steps

Evaluate

4 x^{3} \times 62 x^{2}

Multiply the terms

248 x^{3} \times x^{2}

Multiply the terms with the same base by adding their exponents

248 x^{3 + 2}

Add the numbers

248 x^{5}

15 - 248 x^{5}

Show Solution

x = \frac{5 15 \times 24 8 ^{4}}{248}

Alternative Form

x \approx 0.570595

Evaluate

15 - 4 x^{3} \times 62 x^{2}

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

15 - 4 x^{3} \times 62 x^{2} = 0

Multiply

More Steps

Multiply the terms

4 x^{3} \times 62 x^{2}

Multiply the terms

248 x^{3} \times x^{2}

Multiply the terms with the same base by adding their exponents

248 x^{3 + 2}

Add the numbers

248 x^{5}

15 - 248 x^{5} = 0

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

- 248 x^{5} = 0 - 15

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

- 248 x^{5} = - 15

Change the signs on both sides of the equation

248 x^{5} = 15

Divide both sides

\frac{248 x ^{5}}{248} = \frac{15}{248}

Divide the numbers

x^{5} = \frac{15}{248}

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

5 x^{5} = 5 \frac{15}{248}

Calculate

x = 5 \frac{15}{248}

Solution

More Steps

Evaluate

5 \frac{15}{248}

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

\frac{5 15}{5 248}

Multiply by the Conjugate

\frac{5 15 \times 5 24 8 ^{4}}{5 248 \times 5 24 8 ^{4}}

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

\frac{5 15 \times 24 8 ^{4}}{5 248 \times 5 24 8 ^{4}}

Multiply the numbers

More Steps

Evaluate

5248 \times 5 24 8^{4}

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

5 248 \times 24 8^{4}

Calculate the product

5 24 8^{5}

Reduce the index of the radical and exponent with 5

248

\frac{5 15 \times 24 8 ^{4}}{248}

x = \frac{5 15 \times 24 8 ^{4}}{248}

Alternative Form

x \approx 0.570595

Show Solution