Solve 17-5x^4/2 - ScanMath

Question

Simplify the expression

\frac{34 - 5 x ^{4}}{2}

Evaluate

17 - (5 \times \frac{x ^{4}}{2})

Multiply the terms

17 - \frac{5 x ^{4}}{2}

Reduce fractions to a common denominator

\frac{17 \times 2}{2} - \frac{5 x ^{4}}{2}

Write all numerators above the common denominator

\frac{17 \times 2 - 5 x ^{4}}{2}

Solution

\frac{34 - 5 x ^{4}}{2}

Show Solution

x_{1} = - \frac{4 4250}{5}, x_{2} = \frac{4 4250}{5}

Alternative Form

x_{1} \approx - 1.614832, x_{2} \approx 1.614832

Evaluate

17 - (5 \times \frac{x ^{4}}{2})

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

17 - (5 \times \frac{x ^{4}}{2}) = 0

Multiply the terms

17 - \frac{5 x ^{4}}{2} = 0

Subtract the terms

More Steps

Simplify

17 - \frac{5 x ^{4}}{2}

Reduce fractions to a common denominator

\frac{17 \times 2}{2} - \frac{5 x ^{4}}{2}

Write all numerators above the common denominator

\frac{17 \times 2 - 5 x ^{4}}{2}

Multiply the numbers

\frac{34 - 5 x ^{4}}{2}

\frac{34 - 5 x ^{4}}{2} = 0

Simplify

34 - 5 x^{4} = 0

Rewrite the expression

- 5 x^{4} = - 34

Change the signs on both sides of the equation

5 x^{4} = 34

Divide both sides

\frac{5 x ^{4}}{5} = \frac{34}{5}

Divide the numbers

x^{4} = \frac{34}{5}

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

x = \pm 4 \frac{34}{5}

Simplify the expression

More Steps

Evaluate

4 \frac{34}{5}

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

\frac{4 34}{4 5}

Multiply by the Conjugate

\frac{4 34 \times 4 5 ^{3}}{4 5 \times 4 5 ^{3}}

Simplify

\frac{4 34 \times 4 125}{4 5 \times 4 5 ^{3}}

Multiply the numbers

More Steps

Evaluate

434 \times 4125

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

4 34 \times 125

Calculate the product

44250

\frac{4 4250}{4 5 \times 4 5 ^{3}}

Multiply the numbers

More Steps

Evaluate

45 \times 4 5^{3}

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

4 5 \times 5^{3}

Calculate the product

4 5^{4}

Reduce the index of the radical and exponent with 4

5

\frac{4 4250}{5}

x = \pm \frac{4 4250}{5}

Separate the equation into 2 possible cases

x = \frac{4 4250}{5} x = - \frac{4 4250}{5}

Solution

x_{1} = - \frac{4 4250}{5}, x_{2} = \frac{4 4250}{5}

Alternative Form

x_{1} \approx - 1.614832, x_{2} \approx 1.614832

Show Solution