If 2x² − 3x − 2 = 0, then x = ?
- x = 2, −1/2
- x = 1, −2
- x = 3, −1
- None of these
Explanation
Equation 2x² − 3x − 2 = 0
Break -3x into -4x + 1x because 2 × -2 = -4 and -4 + 1 = -3
So 2x² − 4x + 1x − 2 = 0
Take 2x common from first two terms → 2x(x − 2)
Take 1 common from last two terms → 1(x − 2)
Now we get (2x + 1)(x − 2) = 0
If two things multiply to 0, one of them is 0
So 2x + 1 = 0 gives x = -1/2
And x − 2 = 0 gives x = 2
Final: x = 2, −1/2
Last verified on 20-06-2026
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