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Mathematics · Quadratic Equations · NCERT Examples

Example 7

A complete, independently verified solution for NCERT Example 7.

Mathematics · Chapter 4 · NCERT Examples

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NCERT Example

Example 7

discriminant · nature of roots

Find the discriminant of 2x² − 4x + 3 = 0 and hence state the nature of its roots.

Solution

a=2,b=−4,c=3a=2,\quad b=-4,\quad c=3
D=b2−4ac=(−4)2−4(2)(3)=16−24=−8D=b^2-4ac=(-4)^2-4(2)(3)=16-24=-8

Since D < 0, the equation has no real roots.

Final answer

D = −8; no real roots.