Solve 14x^2 43x - 9

Question

Simplify the expression

602 x^{3} - 9

Evaluate

14 x^{2} \times 43 x - 9

Solution

More Steps

Evaluate

14 x^{2} \times 43 x

Multiply the terms

602 x^{2} \times x

Multiply the terms with the same base by adding their exponents

602 x^{2 + 1}

Add the numbers

602 x^{3}

602 x^{3} - 9

Show Solution

x = \frac{3 180 6 ^{2}}{602}

Alternative Form

x \approx 0.246348

Evaluate

14 x^{2} \times 43 x - 9

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

14 x^{2} \times 43 x - 9 = 0

Multiply

More Steps

Multiply the terms

14 x^{2} \times 43 x

Multiply the terms

602 x^{2} \times x

Multiply the terms with the same base by adding their exponents

602 x^{2 + 1}

Add the numbers

602 x^{3}

602 x^{3} - 9 = 0

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

602 x^{3} = 0 + 9

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

602 x^{3} = 9

Divide both sides

\frac{602 x ^{3}}{602} = \frac{9}{602}

Divide the numbers

x^{3} = \frac{9}{602}

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

3 x^{3} = 3 \frac{9}{602}

Calculate

x = 3 \frac{9}{602}

Solution

More Steps

Evaluate

3 \frac{9}{602}

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

\frac{3 9}{3 602}

Multiply by the Conjugate

\frac{3 9 \times 3 60 2 ^{2}}{3 602 \times 3 60 2 ^{2}}

Multiply the numbers

More Steps

Evaluate

39 \times 3 60 2^{2}

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

3 9 \times 60 2^{2}

Calculate the product

3 180 6^{2}

\frac{3 180 6 ^{2}}{3 602 \times 3 60 2 ^{2}}

Multiply the numbers

More Steps

Evaluate

3602 \times 3 60 2^{2}

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

3 602 \times 60 2^{2}

Calculate the product

3 60 2^{3}

Reduce the index of the radical and exponent with 3

602

\frac{3 180 6 ^{2}}{602}

x = \frac{3 180 6 ^{2}}{602}

Alternative Form

x \approx 0.246348

Show Solution