Solve 4x^3x=154 - ScanMath

Question

Solve the equation

x_{1} = - \frac{4 616}{2}, x_{2} = \frac{4 616}{2}

Alternative Form

x_{1} \approx - 2.490951, x_{2} \approx 2.490951

Evaluate

4 x^{3} \times x = 154

Multiply

More Steps

Evaluate

4 x^{3} \times x

Multiply the terms with the same base by adding their exponents

4 x^{3 + 1}

Add the numbers

4 x^{4}

4 x^{4} = 154

Divide both sides

\frac{4 x ^{4}}{4} = \frac{154}{4}

Divide the numbers

x^{4} = \frac{154}{4}

Cancel out the common factor 2

x^{4} = \frac{77}{2}

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

x = \pm 4 \frac{77}{2}

Simplify the expression

More Steps

Evaluate

4 \frac{77}{2}

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

\frac{4 77}{4 2}

Multiply by the Conjugate

\frac{4 77 \times 4 2 ^{3}}{4 2 \times 4 2 ^{3}}

Simplify

\frac{4 77 \times 4 8}{4 2 \times 4 2 ^{3}}

Multiply the numbers

More Steps

Evaluate

477 \times 48

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

4 77 \times 8

Calculate the product

4616

\frac{4 616}{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{4 616}{2}

x = \pm \frac{4 616}{2}

Separate the equation into 2 possible cases

x = \frac{4 616}{2} x = - \frac{4 616}{2}

Solution

x_{1} = - \frac{4 616}{2}, x_{2} = \frac{4 616}{2}

Alternative Form

x_{1} \approx - 2.490951, x_{2} \approx 2.490951

Show Solution