Solve 2x^3x = 15 - ScanMath

Question

Solve the equation

x_{1} = - \frac{4 120}{2}, x_{2} = \frac{4 120}{2}

Alternative Form

x_{1} \approx - 1.654875, x_{2} \approx 1.654875

Evaluate

2 x^{3} \times x = 15

Multiply

More Steps

Evaluate

2 x^{3} \times x

Multiply the terms with the same base by adding their exponents

2 x^{3 + 1}

Add the numbers

2 x^{4}

2 x^{4} = 15

Divide both sides

\frac{2 x ^{4}}{2} = \frac{15}{2}

Divide the numbers

x^{4} = \frac{15}{2}

Take the root of both sides of the equation and remember to use both positive and negative roots

x = \pm 4 \frac{15}{2}

Simplify the expression

More Steps

Evaluate

4 \frac{15}{2}

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

\frac{4 15}{4 2}

Multiply by the Conjugate

\frac{4 15 \times 4 2 ^{3}}{4 2 \times 4 2 ^{3}}

Simplify

\frac{4 15 \times 4 8}{4 2 \times 4 2 ^{3}}

Multiply the numbers

More Steps

Evaluate

415 \times 48

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

4 15 \times 8

Calculate the product

4120

\frac{4 120}{4 2 \times 4 2 ^{3}}

Multiply the numbers

More Steps

Evaluate

42 \times 4 2^{3}

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

4 2 \times 2^{3}

Calculate the product

4 2^{4}

Reduce the index of the radical and exponent with 4

2

\frac{4 120}{2}

x = \pm \frac{4 120}{2}

Separate the equation into 2 possible cases

x = \frac{4 120}{2} x = - \frac{4 120}{2}

Solution

x_{1} = - \frac{4 120}{2}, x_{2} = \frac{4 120}{2}

Alternative Form

x_{1} \approx - 1.654875, x_{2} \approx 1.654875

Show Solution