A teacher writes three equations on the board:
A: $x^{2} - 2 x + 1 = 0$
B: $x^{2} - 2 x - 1 = 0$
C: $x^{2} - 2 x + 3 = 0$
How many of them have two distinct real roots?

Question

A teacher writes three equations on the board: A: x^2 - 2x + 1 = 0 B: x^2 - 2x - 1 = 0 C: x^2 - 2x + 3 = 0 How many of them have two distinct real roots?

Accepted Answer

1. A: D = 4 - 4 = 0 (equal). B: D = 4 + 4 = 8 > 0 (distinct). C: D = 4 - 12 = -8 < 0 (none). Only B has distinct real roots, so the count is 1.

A teacher writes three equations on the board:
A: $x^{2} - 2 x + 1 = 0$
B: $x^{2} - 2 x - 1 = 0$
C: $x^{2} - 2 x + 3 = 0$
How many of them have two distinct real roots?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Discriminant and Nature of Roots practice

A teacher writes three equations on the board:A: x2−2x+1=0B: x2−2x−1=0C: x2−2x+3=0How many of them have two distinct real roots?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Discriminant and Nature of Roots practice

A teacher writes three equations on the board:
A: $x^{2} - 2 x + 1 = 0$
B: $x^{2} - 2 x - 1 = 0$
C: $x^{2} - 2 x + 3 = 0$
How many of them have two distinct real roots?