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Class 10
Mathematics
Quadratic Equations
find the nature of the roots of the following quad...

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

(i) 2x²– 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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Question:
Find the nature of the roots of the following quadratic equations. If the real roots exist, find them:

(i) 2x²– 3x + 5 = 0 (iii) 2x²– 6x + 3 = 0

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Question: Find the nature of the roots of the following quadratic equations. If the real roots exist, find them: (i) 2x2 – 3x + 5 = 0 (iii) 2x2– 6x + 3 = 0

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

(i) 2x²– 3x + 5 = 0 (iii) 2x²– 6x + 3 = 0