Three friends in Chennai each set up a quadratic for a project: E1: x^2 - 7x + 12 = 0, E2: x^2 - 4x + 4 = 0, E3: x^2 + x + 7 = 0. How many of these have real roots (equal or distinct)?

Question

Accepted Answer

2. E1: D = 49 - 48 = 1 > 0 (real). E2: D = 16 - 16 = 0 (real, equal). E3: D = 1 - 28 = -27 < 0 (not real). So 2 of them have real roots.

Three friends in Chennai each set up a quadratic for a project:
E1: $x^{2} - 7 x + 12 = 0$ , E2: $x^{2} - 4 x + 4 = 0$ , E3: $x^{2} + x + 7 = 0$ .
How many of these have real roots (equal or distinct)?

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More Class 10 Nature of Roots (Discriminant) practice

Three friends in Chennai each set up a quadratic for a project:E1: x2−7x+12=0, E2: x2−4x+4=0, E3: x2+x+7=0.How many of these have real roots (equal or distinct)?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Nature of Roots (Discriminant) practice

Three friends in Chennai each set up a quadratic for a project:
E1: $x^{2} - 7 x + 12 = 0$ , E2: $x^{2} - 4 x + 4 = 0$ , E3: $x^{2} + x + 7 = 0$ .
How many of these have real roots (equal or distinct)?