Solve 2x^2 37x-87

Question

Simplify the expression

74 x^{3} - 87

Evaluate

2 x^{2} \times 37 x - 87

Solution

More Steps

Evaluate

2 x^{2} \times 37 x

Multiply the terms

74 x^{2} \times x

Multiply the terms with the same base by adding their exponents

74 x^{2 + 1}

Add the numbers

74 x^{3}

74 x^{3} - 87

Show Solution

x = \frac{3 476412}{74}

Alternative Form

x \approx 1.055429

Evaluate

2 x^{2} \times 37 x - 87

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

2 x^{2} \times 37 x - 87 = 0

Multiply

More Steps

Multiply the terms

2 x^{2} \times 37 x

Multiply the terms

74 x^{2} \times x

Multiply the terms with the same base by adding their exponents

74 x^{2 + 1}

Add the numbers

74 x^{3}

74 x^{3} - 87 = 0

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

74 x^{3} = 0 + 87

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

74 x^{3} = 87

Divide both sides

\frac{74 x ^{3}}{74} = \frac{87}{74}

Divide the numbers

x^{3} = \frac{87}{74}

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

3 x^{3} = 3 \frac{87}{74}

Calculate

x = 3 \frac{87}{74}

Solution

More Steps

Evaluate

3 \frac{87}{74}

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

\frac{3 87}{3 74}

Multiply by the Conjugate

\frac{3 87 \times 3 7 4 ^{2}}{3 74 \times 3 7 4 ^{2}}

Simplify

\frac{3 87 \times 3 5476}{3 74 \times 3 7 4 ^{2}}

Multiply the numbers

More Steps

Evaluate

387 \times 35476

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

3 87 \times 5476

Calculate the product

3476412

\frac{3 476412}{3 74 \times 3 7 4 ^{2}}

Multiply the numbers

More Steps

Evaluate

374 \times 3 7 4^{2}

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

3 74 \times 7 4^{2}

Calculate the product

3 7 4^{3}

Reduce the index of the radical and exponent with 3

74

\frac{3 476412}{74}

x = \frac{3 476412}{74}

Alternative Form

x \approx 1.055429

Show Solution