This page offers a step-by-step solution to the specific question **NCERT Class 10th Mathematics - Quadratic Equations | find the nature of the roots of the following quad Answer ** from NCERT Class 10th Mathematics, Chapter Quadratic Equations.

Question 1

Find the nature of the roots of the following quadratic equations. If the real roots exist, find them:

(i) 2x^{2 }– 3x + 5 = 0 (iii) 2x^{2}– 6x + 3 = 0

Answer

(i) 2x^{2} – 3x + 5 = 0

On comparing given equation ax^{2} + bx + c = 0

We get,

a = 2, b = -3 and c = 5

We know discriminant (D) = b^{2} – 4ac

D = (-3)^{2} – 4 2 5

D = 9 – 40

D = -31

As, b^{2} – 4ac < 0

Therefore, no real roots exist for the given equation.

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