Algebrahard · Past Paper

If roots are α and β, then 1/α^2 + 1/β^2 equals:

A(α^2 + β^2) / (αβ)^2
B(b^2 - 2ac) / c^2
C(b^2 + 2ac) / c^2
DBoth a and b

✓ Correct Answer: DBoth a and b

Simplifying 1/α^2 + 1/β^2 gives (α^2 + β^2) / (αβ)^2. Substituting coefficients gives (b^2 - 2ac)/c^2.

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