Solve 2/3+5/8-11/12 x^24

Question

Simplify the expression

\frac{31}{24} - \frac{11}{3} x^{2}

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\frac{1}{24} (31 - 88 x^{2})

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x_{1} = - \frac{682}{44}, x_{2} = \frac{682}{44}

Alternative Form

x_{1} \approx - 0.593526, x_{2} \approx 0.593526

Evaluate

\frac{2}{3} + \frac{5}{8} - \frac{11}{12} x^{2} \times 4

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

\frac{2}{3} + \frac{5}{8} - \frac{11}{12} x^{2} \times 4 = 0

Multiply the terms

More Steps

\frac{2}{3} + \frac{5}{8} - \frac{11}{3} x^{2} = 0

Add the numbers

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\frac{31}{24} - \frac{11}{3} x^{2} = 0

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

- \frac{11}{3} x^{2} = 0 - \frac{31}{24}

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

- \frac{11}{3} x^{2} = - \frac{31}{24}

Change the signs on both sides of the equation

\frac{11}{3} x^{2} = \frac{31}{24}

Multiply by the reciprocal

\frac{11}{3} x^{2} \times \frac{3}{11} = \frac{31}{24} \times \frac{3}{11}

Multiply

x^{2} = \frac{31}{24} \times \frac{3}{11}

Multiply

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x^{2} = \frac{31}{88}

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

x = \pm \frac{31}{88}

Simplify the expression

More Steps

x = \pm \frac{682}{44}

Separate the equation into 2 possible cases

x = \frac{682}{44} x = - \frac{682}{44}

Solution

x_{1} = - \frac{682}{44}, x_{2} = \frac{682}{44}

Alternative Form

x_{1} \approx - 0.593526, x_{2} \approx 0.593526

Show Solution