Question:medium
For what value of \( 'a' \), the sum of the squares of the roots of the equation \( x^2 - (a - 2)x - a + 1 = 0 \) will have the least value?
For what value of \( 'a' \), the sum of the squares of the roots of the equation \( x^2 - (a - 2)x - a + 1 = 0 \) will have the least value?
Show Hint
Remember Vieta's formulas for relating the coefficients of a polynomial to sums and products of its roots. For a quadratic equation \( Ax^2 + Bx + C = 0 \), the sum of the roots is \( -\frac{B}{A} \) and the product of the roots is \( \frac{C}{A} \).
Updated On: Nov 28, 2025
- \( 2 \)
- \( 0 \)
- \( 3 \)
- \( 1 \)
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