Solve 150 - ( 12 1/2 6 2/4)*x^5

Question

Simplify the expression

150 - \frac{325}{4} x^{5}

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\frac{25}{4} (24 - 13 x^{5})

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x = \frac{5 685464}{13}

Alternative Form

x \approx 1.130456

Evaluate

150 - (12 \frac{1}{2} \times 6 \frac{2}{4}) x^{5}

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

150 - (12 \frac{1}{2} \times 6 \frac{2}{4}) x^{5} = 0

Covert the mixed number to an improper fraction

More Steps

150 - (\frac{25}{2} \times 6 \frac{2}{4}) x^{5} = 0

Covert the mixed number to an improper fraction

More Steps

150 - (\frac{25}{2} \times \frac{26}{4}) x^{5} = 0

Multiply the numbers

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150 - \frac{325}{4} x^{5} = 0

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

- \frac{325}{4} x^{5} = 0 - 150

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

- \frac{325}{4} x^{5} = - 150

Change the signs on both sides of the equation

\frac{325}{4} x^{5} = 150

Multiply by the reciprocal

\frac{325}{4} x^{5} \times \frac{4}{325} = 150 \times \frac{4}{325}

Multiply

x^{5} = 150 \times \frac{4}{325}

Multiply

More Steps

x^{5} = \frac{24}{13}

Take the 5 -th root on both sides of the equation

5 x^{5} = 5 \frac{24}{13}

Calculate

x = 5 \frac{24}{13}

Solution

More Steps

x = \frac{5 685464}{13}

Alternative Form

x \approx 1.130456

Show Solution