Solve 23x^234x-45

Question

Simplify the expression

782 x^{3} - 45

Evaluate

23 x^{2} \times 34 x - 45

Solution

More Steps

Evaluate

23 x^{2} \times 34 x

Multiply the terms

782 x^{2} \times x

Multiply the terms with the same base by adding their exponents

782 x^{2 + 1}

Add the numbers

782 x^{3}

782 x^{3} - 45

Show Solution

x = \frac{3 45 \times 78 2 ^{2}}{782}

Alternative Form

x \approx 0.386072

Evaluate

23 x^{2} \times 34 x - 45

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

23 x^{2} \times 34 x - 45 = 0

Multiply

More Steps

Multiply the terms

23 x^{2} \times 34 x

Multiply the terms

782 x^{2} \times x

Multiply the terms with the same base by adding their exponents

782 x^{2 + 1}

Add the numbers

782 x^{3}

782 x^{3} - 45 = 0

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

782 x^{3} = 0 + 45

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

782 x^{3} = 45

Divide both sides

\frac{782 x ^{3}}{782} = \frac{45}{782}

Divide the numbers

x^{3} = \frac{45}{782}

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

3 x^{3} = 3 \frac{45}{782}

Calculate

x = 3 \frac{45}{782}

Solution

More Steps

Evaluate

3 \frac{45}{782}

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

\frac{3 45}{3 782}

Multiply by the Conjugate

\frac{3 45 \times 3 78 2 ^{2}}{3 782 \times 3 78 2 ^{2}}

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

\frac{3 45 \times 78 2 ^{2}}{3 782 \times 3 78 2 ^{2}}

Multiply the numbers

More Steps

Evaluate

3782 \times 3 78 2^{2}

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

3 782 \times 78 2^{2}

Calculate the product

3 78 2^{3}

Reduce the index of the radical and exponent with 3

782

\frac{3 45 \times 78 2 ^{2}}{782}

x = \frac{3 45 \times 78 2 ^{2}}{782}

Alternative Form

x \approx 0.386072

Show Solution