Solve 11x^2-41x^46

Question

Simplify the expression

11 x^{2} - 246 x^{4}

Evaluate

11 x^{2} - 41 x^{4} \times 6

Solution

11 x^{2} - 246 x^{4}

Show Solution

x^{2} (11 - 246 x^{2})

Evaluate

11 x^{2} - 41 x^{4} \times 6

Multiply the terms

11 x^{2} - 246 x^{4}

Rewrite the expression

x^{2} \times 11 - x^{2} \times 246 x^{2}

Solution

x^{2} (11 - 246 x^{2})

Show Solution

x_{1} = - \frac{2706}{246}, x_{2} = 0, x_{3} = \frac{2706}{246}

Alternative Form

x_{1} \approx - 0.21146, x_{2} = 0, x_{3} \approx 0.21146

Evaluate

11 x^{2} - 41 x^{4} \times 6

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

11 x^{2} - 41 x^{4} \times 6 = 0

Multiply the terms

11 x^{2} - 246 x^{4} = 0

Factor the expression

x^{2} (11 - 246 x^{2}) = 0

Separate the equation into 2 possible cases

x^{2} = 0 11 - 246 x^{2} = 0

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

x = 0 11 - 246 x^{2} = 0

Solve the equation

More Steps

Evaluate

11 - 246 x^{2} = 0

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

- 246 x^{2} = 0 - 11

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

- 246 x^{2} = - 11

Change the signs on both sides of the equation

246 x^{2} = 11

Divide both sides

\frac{246 x ^{2}}{246} = \frac{11}{246}

Divide the numbers

x^{2} = \frac{11}{246}

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

x = \pm \frac{11}{246}

Simplify the expression

More Steps

Evaluate

\frac{11}{246}

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

\frac{11}{246}

Multiply by the Conjugate

\frac{11 \times 246}{246 \times 246}

Multiply the numbers

\frac{2706}{246 \times 246}

When a square root of an expression is multiplied by itself,the result is that expression

\frac{2706}{246}

x = \pm \frac{2706}{246}

Separate the equation into 2 possible cases

x = \frac{2706}{246} x = - \frac{2706}{246}

x = 0 x = \frac{2706}{246} x = - \frac{2706}{246}

Solution

x_{1} = - \frac{2706}{246}, x_{2} = 0, x_{3} = \frac{2706}{246}

Alternative Form

x_{1} \approx - 0.21146, x_{2} = 0, x_{3} \approx 0.21146

Show Solution