Step-by-step solved example
Solve 2x² − 5x − 3 = 0.
1. Identify coefficients
a = 2, b = −5, c = −3.
2. Discriminant
D = (−5)² − 4(2)(−3) = 25 + 24 = 49.
3. Roots
x = [5 ± 7] / 4 → x = 3 and x = −1/2.
Answer: x = 3 and x = −0.5
Solve 2x² − 5x − 3 = 0.
1. Identify coefficients
a = 2, b = −5, c = −3.
2. Discriminant
D = (−5)² − 4(2)(−3) = 25 + 24 = 49.
3. Roots
x = [5 ± 7] / 4 → x = 3 and x = −1/2.
Answer: x = 3 and x = −0.5
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