Solve 5(77-7x^38x^3)/10022x^55/11

Question

Simplify the expression

\frac{1925 x ^{5} - 1400 x ^{11}}{110242}

Show Solution

x_{1} = - \frac{6 88}{2}, x_{2} = 0, x_{3} = \frac{6 88}{2}

Alternative Form

x_{1} \approx - 1.054509, x_{2} = 0, x_{3} \approx 1.054509

Evaluate

(5 \times \frac{77 - 7 x ^{3} \times 8 x ^{3}}{10022}) x^{5} \times \frac{5}{11}

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

(5 \times \frac{77 - 7 x ^{3} \times 8 x ^{3}}{10022}) x^{5} \times \frac{5}{11} = 0

Multiply

More Steps

(5 \times \frac{77 - 56 x ^{6}}{10022}) x^{5} \times \frac{5}{11} = 0

Multiply the terms

\frac{5 ( 77 - 56 x ^{6} )}{10022} x^{5} \times \frac{5}{11} = 0

Multiply the terms

More Steps

\frac{25 ( 77 - 56 x ^{6} ) x ^{5}}{110242} = 0

Simplify

25 (77 - 56 x^{6}) x^{5} = 0

Elimination the left coefficient

(77 - 56 x^{6}) x^{5} = 0

Separate the equation into 2 possible cases

77 - 56 x^{6} = 0 x^{5} = 0

Solve the equation

More Steps

x = \frac{6 88}{2} x = - \frac{6 88}{2} x^{5} = 0

The only way a power can be 0 is when the base equals 0

x = \frac{6 88}{2} x = - \frac{6 88}{2} x = 0

Solution

x_{1} = - \frac{6 88}{2}, x_{2} = 0, x_{3} = \frac{6 88}{2}

Alternative Form

x_{1} \approx - 1.054509, x_{2} = 0, x_{3} \approx 1.054509

Show Solution