Make an Appropriate Substitution in Order to Obtain a Quadratic $$\left( x ^ { 2 } - 2 x \right) ^ { 2 } - 5 \left( x ^ { 2 } - 2 x \right) = 36$$

question 93

Multiple Choice

Make an appropriate substitution in order to obtain a quadratic equation. Find all complex values for x.
- $$\left( x ^ { 2 } - 2 x \right) ^ { 2 } - 5 \left( x ^ { 2 } - 2 x \right) = 36$$

• A) \(x = 1 \pm \sqrt { 10 } , x = 1 \pm i \sqrt { 5 }\)
• B) \(x = 1 \pm 2 \sqrt { 2 } , x = 1 \pm i \sqrt { 3 }\)
• C) \(x = 1 \pm \sqrt { 10 } , x = 1 \pm i \sqrt { 3 }\)
• D) \(x = 1 \pm 2 \sqrt { 2 } , x = 1 \pm i \sqrt { 5 }\)

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