Solve 33 - 12 -2x^4 (22-44)/2 - Socratic AI (ScanMath)

Question

Simplify the expression

21 + 22 x^{4}

Show Solution

x_{1} = - \frac{4 55902}{22} - \frac{4 55902}{22} i, x_{2} = \frac{4 55902}{22} + \frac{4 55902}{22} i

Alternative Form

x_{1} \approx - 0.698931 - 0.698931 i, x_{2} \approx 0.698931 + 0.698931 i

Evaluate

33 - 12 - 2 x^{4} \times \frac{22 - 44}{2}

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

33 - 12 - 2 x^{4} \times \frac{22 - 44}{2} = 0

Subtract the numbers

33 - 12 - 2 x^{4} \times \frac{- 22}{2} = 0

Divide the terms

More Steps

33 - 12 - 2 x^{4} (- 11) = 0

Multiply

More Steps

33 - 12 - (- 22 x^{4}) = 0

Subtract the numbers

21 - (- 22 x^{4}) = 0

Rewrite the expression

21 + 22 x^{4} = 0

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

22 x^{4} = 0 - 21

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

22 x^{4} = - 21

Divide both sides

\frac{22 x ^{4}}{22} = \frac{- 21}{22}

Divide the numbers

x^{4} = \frac{- 21}{22}

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

x^{4} = - \frac{21}{22}

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

x = \pm 4 - \frac{21}{22}

Simplify the expression

More Steps

x = \pm (\frac{4 55902}{22} + \frac{4 55902}{22} i)

Separate the equation into 2 possible cases

x = \frac{4 55902}{22} + \frac{4 55902}{22} i x = - \frac{4 55902}{22} - \frac{4 55902}{22} i

Solution

x_{1} = - \frac{4 55902}{22} - \frac{4 55902}{22} i, x_{2} = \frac{4 55902}{22} + \frac{4 55902}{22} i

Alternative Form

x_{1} \approx - 0.698931 - 0.698931 i, x_{2} \approx 0.698931 + 0.698931 i

Show Solution