16
QuizMultiple Choice

N/A — Exam

Question 16 • Algebra II

Using the quadratic formula to solve 2 x squared is equal to 4 x minus 7 , what are the values of x ?

Answer
A
1 plus or minus square root of 5 i
B
2 plus or minus square root of 10 i
C
1 plus or minus square root of 10 i
D
the fraction with numerator 2 plus or minus square root of 10 i and denominator 2

Explanation

Put the equation in standard form: 2x² − 4x + 7 = 0. The quadratic formula gives x = (4 ± √(16 − 56))/4 = (4 ± √(−40))/4. Since √(−40) = 2i√10, this simplifies to x = (2 ± i√10)/2, which is choice D.

AI-written and checked against the verified answer.

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