Solve (x^2 x)^2 4(x^2 x)-5

Question

Simplify the expression

4 x^{9} - 5

Show Solution

x = \frac{9 640}{2}

Alternative Form

x \approx 1.025104

Evaluate

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

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

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

Multiply the terms

More Steps

(x^{3})^{2} \times 4 (x^{2} \times x) - 5 = 0

Multiply the terms

More Steps

(x^{3})^{2} \times 4 x^{3} - 5 = 0

Evaluate the power

More Steps

x^{6} \times 4 x^{3} - 5 = 0

Multiply

More Steps

4 x^{9} - 5 = 0

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

4 x^{9} = 0 + 5

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

4 x^{9} = 5

Divide both sides

\frac{4 x ^{9}}{4} = \frac{5}{4}

Divide the numbers

x^{9} = \frac{5}{4}

Take the 9 -th root on both sides of the equation

9 x^{9} = 9 \frac{5}{4}

Calculate

x = 9 \frac{5}{4}

Solution

More Steps

x = \frac{9 640}{2}

Alternative Form

x \approx 1.025104

Show Solution