Solve x^212x-25=0

Question

Solve the equation

x = \frac{3 450}{6}

Alternative Form

x \approx 1.277182

Evaluate

x^{2} \times 12 x - 25 = 0

Multiply

More Steps

Evaluate

x^{2} \times 12 x

Multiply the terms with the same base by adding their exponents

x^{2 + 1} \times 12

Add the numbers

x^{3} \times 12

Use the commutative property to reorder the terms

12 x^{3}

12 x^{3} - 25 = 0

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

12 x^{3} = 0 + 25

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

12 x^{3} = 25

Divide both sides

\frac{12 x ^{3}}{12} = \frac{25}{12}

Divide the numbers

x^{3} = \frac{25}{12}

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

3 x^{3} = 3 \frac{25}{12}

Calculate

x = 3 \frac{25}{12}

Solution

More Steps

Evaluate

3 \frac{25}{12}

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

\frac{3 25}{3 12}

Multiply by the Conjugate

\frac{3 25 \times 3 1 2 ^{2}}{3 12 \times 3 1 2 ^{2}}

Simplify

\frac{3 25 \times 2 3 18}{3 12 \times 3 1 2 ^{2}}

Multiply the numbers

More Steps

Evaluate

325 \times 2318

Multiply the terms

3450 \times 2

Use the commutative property to reorder the terms

23450

\frac{2 3 450}{3 12 \times 3 1 2 ^{2}}

Multiply the numbers

More Steps

Evaluate

312 \times 3 1 2^{2}

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

3 12 \times 1 2^{2}

Calculate the product

3 1 2^{3}

Reduce the index of the radical and exponent with 3

12

\frac{2 3 450}{12}

Cancel out the common factor 2

\frac{3 450}{6}

x = \frac{3 450}{6}

Alternative Form

x \approx 1.277182

Show Solution