Solve 35x^(2) 37x-6

Question

Simplify the expression

1295 x^{3} - 6

Evaluate

35 x^{2} \times 37 x - 6

Solution

More Steps

Evaluate

35 x^{2} \times 37 x

Multiply the terms

1295 x^{2} \times x

Multiply the terms with the same base by adding their exponents

1295 x^{2 + 1}

Add the numbers

1295 x^{3}

1295 x^{3} - 6

Show Solution

x = \frac{3 6 \times 129 5 ^{2}}{1295}

Alternative Form

x \approx 0.16671

Evaluate

35 x^{2} \times 37 x - 6

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

35 x^{2} \times 37 x - 6 = 0

Multiply

More Steps

Multiply the terms

35 x^{2} \times 37 x

Multiply the terms

1295 x^{2} \times x

Multiply the terms with the same base by adding their exponents

1295 x^{2 + 1}

Add the numbers

1295 x^{3}

1295 x^{3} - 6 = 0

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

1295 x^{3} = 0 + 6

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

1295 x^{3} = 6

Divide both sides

\frac{1295 x ^{3}}{1295} = \frac{6}{1295}

Divide the numbers

x^{3} = \frac{6}{1295}

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

3 x^{3} = 3 \frac{6}{1295}

Calculate

x = 3 \frac{6}{1295}

Solution

More Steps

Evaluate

3 \frac{6}{1295}

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

\frac{3 6}{3 1295}

Multiply by the Conjugate

\frac{3 6 \times 3 129 5 ^{2}}{3 1295 \times 3 129 5 ^{2}}

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

\frac{3 6 \times 129 5 ^{2}}{3 1295 \times 3 129 5 ^{2}}

Multiply the numbers

More Steps

Evaluate

31295 \times 3 129 5^{2}

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

3 1295 \times 129 5^{2}

Calculate the product

3 129 5^{3}

Reduce the index of the radical and exponent with 3

1295

\frac{3 6 \times 129 5 ^{2}}{1295}

x = \frac{3 6 \times 129 5 ^{2}}{1295}

Alternative Form

x \approx 0.16671

Show Solution