Solve 5-2sqrt(2)*x x^2

Question

Simplify the expression

5 - 22 \times x^{3}

Evaluate

5 - 22 \times x \times x^{2}

Solution

More Steps

Evaluate

22 \times x \times x^{2}

Multiply the terms with the same base by adding their exponents

22 \times x^{1 + 2}

Add the numbers

22 \times x^{3}

5 - 22 \times x^{3}

Show Solution

x = \frac{6 200}{2}

Alternative Form

x \approx 1.209136

Evaluate

5 - 22 \times x \times x^{2}

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

5 - 22 \times x \times x^{2} = 0

Multiply

More Steps

Multiply the terms

22 \times x \times x^{2}

Multiply the terms with the same base by adding their exponents

22 \times x^{1 + 2}

Add the numbers

22 \times x^{3}

5 - 22 \times x^{3} = 0

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

- 22 \times x^{3} = 0 - 5

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

- 22 \times x^{3} = - 5

Change the signs on both sides of the equation

22 \times x^{3} = 5

Divide both sides

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

Divide the numbers

x^{3} = \frac{5}{2 2}

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

3 x^{3} = 3 \frac{5}{2 2}

Calculate

x = 3 \frac{5}{2 2}

Solution

More Steps

Evaluate

3 \frac{5}{2 2}

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

\frac{3 5}{3 2 2}

Simplify the radical expression

More Steps

Evaluate

322

Rewrite the expression

32 \times 32

Simplify the root

2

\frac{3 5}{2}

Multiply by the Conjugate

\frac{3 5 \times 2}{2 \times 2}

Multiply the numbers

More Steps

Evaluate

35 \times 2

Use n a = mn a^{m} to expand the expression

6 5^{2} \times 2

Use n a = mn a^{m} to expand the expression

6 5^{2} \times 6 2^{3}

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

6 5^{2} \times 2^{3}

Calculate the product

6200

\frac{6 200}{2 \times 2}

When a square root of an expression is multiplied by itself,the result is that expression

\frac{6 200}{2}

x = \frac{6 200}{2}

Alternative Form

x \approx 1.209136

Show Solution