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if alpha , beta be the roots of x^(2) ...

if ` alpha , beta` be the roots of ` x^(2) -(a -2) x -a-1 =0` then the least value of ` alpha^(2) + beta^(2)` is (1) 0 (2) 1 (3) 3 (4) 5

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To solve the problem, we need to find the least value of \( \alpha^2 + \beta^2 \) given that \( \alpha \) and \( \beta \) are the roots of the quadratic equation: \[ x^2 - (a - 2)x - (a + 1) = 0 \] ### Step 1: Identify the coefficients From the quadratic equation, we can identify: ...
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