Solve 4x^4159-2 - ScanMath

Question

Simplify the expression

636 x^{4} - 2

Evaluate

4 x^{4} \times 159 - 2

Solution

636 x^{4} - 2

Show Solution

2 (318 x^{4} - 1)

Evaluate

4 x^{4} \times 159 - 2

Multiply the terms

636 x^{4} - 2

Solution

2 (318 x^{4} - 1)

Show Solution

x_{1} = - \frac{4 31 8 ^{3}}{318}, x_{2} = \frac{4 31 8 ^{3}}{318}

Alternative Form

x_{1} \approx - 0.236806, x_{2} \approx 0.236806

Evaluate

4 x^{4} \times 159 - 2

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

4 x^{4} \times 159 - 2 = 0

Multiply the terms

636 x^{4} - 2 = 0

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

636 x^{4} = 0 + 2

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

636 x^{4} = 2

Divide both sides

\frac{636 x ^{4}}{636} = \frac{2}{636}

Divide the numbers

x^{4} = \frac{2}{636}

Cancel out the common factor 2

x^{4} = \frac{1}{318}

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

x = \pm 4 \frac{1}{318}

Simplify the expression

More Steps

Evaluate

4 \frac{1}{318}

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

\frac{4 1}{4 318}

Simplify the radical expression

\frac{1}{4 318}

Multiply by the Conjugate

\frac{4 31 8 ^{3}}{4 318 \times 4 31 8 ^{3}}

Multiply the numbers

More Steps

Evaluate

4318 \times 4 31 8^{3}

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

4 318 \times 31 8^{3}

Calculate the product

4 31 8^{4}

Reduce the index of the radical and exponent with 4

318

\frac{4 31 8 ^{3}}{318}

x = \pm \frac{4 31 8 ^{3}}{318}

Separate the equation into 2 possible cases

x = \frac{4 31 8 ^{3}}{318} x = - \frac{4 31 8 ^{3}}{318}

Solution

x_{1} = - \frac{4 31 8 ^{3}}{318}, x_{2} = \frac{4 31 8 ^{3}}{318}

Alternative Form

x_{1} \approx - 0.236806, x_{2} \approx 0.236806

Show Solution