Solve: 3x² − 7x + 2 = 0
- 1Pick the right formulaThe equation is quadratic, so use x = (−b ± √(b² − 4ac)) / (2a).
- 2Identify the coefficientsa = 3, b = −7, c = 2.
- 3Compute the discriminantb² − 4ac = (−7)² − 4(3)(2) = 49 − 24 = 25.
- 4Take the square root√25 = 5.
- 5Plug into the formulax = (7 ± 5) / 6.
- 6Work out both rootsx = 12/6 = 2, or x = 2/6 = 1/3.