Two friends, Asha and Bina, each pick a quadratic. Asha's is $x^{2} - 4 x + 4 = 0$ and Bina's is $x^{2} - 4 x + 5 = 0$ .
Whose equation has real roots?

Question

Two friends, Asha and Bina, each pick a quadratic. Asha's is x^2 - 4x + 4 = 0 and Bina's is x^2 - 4x + 5 = 0. Whose equation has real roots?

Accepted Answer

Only Asha. Asha: D = 16 - 16 = 0 (real, equal). Bina: D = 16 - 20 = -4 < 0 (no real roots). So only Asha's has real roots.

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