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Question
Equation 2x2 – 3x + 1 = 0 has ______.
Options
distinct and real roots
no real roots
equal roots
imaginary roots
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Solution
Equation 2x2 – 3x + 1 = 0 has distinct and real roots.
Explanation:
Given quadratic equation be
2x2 – 3x + 1 = 0
On comparing with ax2 + bx + c = 0
We have, a = 2; b = – 3 and c = 1
Here, discriminant = D
= b2 – 4ac
= (–3)2 – 4 × 2 × 1
= 9 – 8
= 1 > 0
Thus, roots are real and distinct.
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