Using the quadratic formula to solve 4 x squared minus 3 x plus 9 is equal to 2 x plus 1 , what are the values of x ?

Move all terms to one side: 4x² − 3x + 9 = 2x + 1 becomes 4x² − 5x + 8 = 0. Using the quadratic formula, the discriminant is (−5)² − 4(4)(8) = 25 − 128 = −103, so the roots are (5 ± √(−103))/8 = (5 ± √103 i)/8. This matches choice A.

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