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प्रश्न
If `x = (-1)/2`, is a root of the quadratic equation 3x2 + 2kx + 3 = 0, find the value of k.
बेरीज
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उत्तर
Given: `x = (-1)/2` is a root of 3x2 + 2kx + 3 = 0.
Step-wise calculation:
1. Substitute `x = (-1)/2` into the equation.
2. `3(-1/2)^2 + 2k(-1/2) + 3 = 0`
⇒ `3(1/4) - k + 3 = 0`
⇒ `3/4 - k + 3 = 0`
⇒ `15/4 - k = 0`
⇒ `k = 15/4` (which is 3.75).
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