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Question
Which of the following equations has two real and distinct roots?
Options
x2 – 5x + 6 = 0
x2 – 3x + 6 = 0
x2 – 2x + 5 = 0
x2 – 4x + 6 = 0
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Solution
x2 – 5x + 6 = 0
Explanation:
Given quadratic equation be
x2 – 5x + 6 = 0
On comparing with ax2 + bx + c = 0;
We have a = 1; b = – 5 and c = 6
Here, discriminant = D
= b2 – 4ac
= (– 5)2 – 4 × 1 × 6
= 25 – 24
= 1 > 0
∴ Roots are real and distinct roots.
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