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Write the Discriminant of the Following Quadratic Equations: 2x2 - 5x + 3 = 0 - Mathematics

Write the discriminant of the following quadratic equations:

2x2 - 5x + 3 = 0

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Solution

We have been given, 2x2 - 5x + 3 = 0

Now we also know that for an equation , the ax2 + bx + c = 0 discriminant is given by the following equation:

D = b2 - 4ac

Now, according to the equation given to us, we have, a = 2, b = -5 and c = 3.

Therefore, the discriminant is given as,

D = (-)2 - 4(2)(3)

= 25 - 24

= 1

Therefore, the discriminant of the equation is 1.

Concept: Relationship Between Discriminant and Nature of Roots
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APPEARS IN

RD Sharma Class 10 Maths
Chapter 4 Quadratic Equations
Exercise 4.5 | Q 1.1 | Page 32
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