Class 10 Mathematics Quadratic Equations: NCERT Solutions for Question 1

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– 3x + 5 = 0  (iii) 2x2– 6x + 3 = 0

Answer

(i)                 2x2 – 3x + 5 = 0

On comparing given equation ax2 + bx + c = 0

We get,

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

We know discriminant (D) = b2 – 4ac

D = (-3)2 – 4   2   5

D = 9 – 40

D = -31

As, b2 – 4ac < 0

Therefore, no real roots exist for the given equation.

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