Quadratic Equations
RD Sharma
CBSE
Grade 10
Question:
Find the discriminant of the quadratic equation $2x^2 - 4x + 3 = 0$, and hence find the nature of its roots.
Step-by-Step Solution
Key Concept: $D = (-4)^2 - 4(2)(3) = 16 - 24 = -8 < 0 \Rightarrow$ No real roots.
$D = 16 - 24 = -8$. [1.0 Mark]
Since $D < 0$, the equation has no real roots (complex/imaginary roots). [1.0 Mark]
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🎯 Official CBSE Marking Scheme:
Calculating $D = -8$: 1.0 Mark
Stating nature of roots (no real roots): 1.0 Mark
Correct Answer:
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