Solve x^2 801x-98383

Question

Simplify the expression

801 x^{3} - 98383

Evaluate

x^{2} \times 801 x - 98383

Solution

More Steps

Evaluate

x^{2} \times 801 x

Multiply the terms with the same base by adding their exponents

x^{2 + 1} \times 801

Add the numbers

x^{3} \times 801

Use the commutative property to reorder the terms

801 x^{3}

801 x^{3} - 98383

Show Solution

x = \frac{3 98383 \times 80 1 ^{2}}{801}

Alternative Form

x \approx 4.970833

Evaluate

x^{2} \times 801 x - 98383

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

x^{2} \times 801 x - 98383 = 0

Multiply

More Steps

Multiply the terms

x^{2} \times 801 x

Multiply the terms with the same base by adding their exponents

x^{2 + 1} \times 801

Add the numbers

x^{3} \times 801

Use the commutative property to reorder the terms

801 x^{3}

801 x^{3} - 98383 = 0

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

801 x^{3} = 0 + 98383

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

801 x^{3} = 98383

Divide both sides

\frac{801 x ^{3}}{801} = \frac{98383}{801}

Divide the numbers

x^{3} = \frac{98383}{801}

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

3 x^{3} = 3 \frac{98383}{801}

Calculate

x = 3 \frac{98383}{801}

Solution

More Steps

Evaluate

3 \frac{98383}{801}

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

\frac{3 98383}{3 801}

Multiply by the Conjugate

\frac{3 98383 \times 3 80 1 ^{2}}{3 801 \times 3 80 1 ^{2}}

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

\frac{3 98383 \times 80 1 ^{2}}{3 801 \times 3 80 1 ^{2}}

Multiply the numbers

More Steps

Evaluate

3801 \times 3 80 1^{2}

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

3 801 \times 80 1^{2}

Calculate the product

3 80 1^{3}

Reduce the index of the radical and exponent with 3

801

\frac{3 98383 \times 80 1 ^{2}}{801}

x = \frac{3 98383 \times 80 1 ^{2}}{801}

Alternative Form

x \approx 4.970833

Show Solution