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Write the Discriminant of the Following Quadratic Equations: (X − 1) (2x − 1) = 0 - Mathematics

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Question

Write the discriminant of the following quadratic equations:

(x − 1) (2x − 1) = 0

Solution

We have been given, (x − 1) (2x − 1) = 0

Now, simplify the equation to be represented in the quadratic form, so we have

2x2 - x - 2x + 1 = 0

2x2 - 3x + 1 = 0

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

D = b2 - 4ac

Now, according to the equation given to us, we have,a = 2, b = -3 and c = 1.

Therefore, the discriminant is given as,

D = (-3)2 - 4(2)(1)

= 9 - 8

= 1

Therefore, the discriminant of the equation is 1.

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APPEARS IN

 RD Sharma Solution for Class 10 Maths (2018 (Latest))
Chapter 4: Quadratic Equations
Ex. 4.5 | Q: 1.3 | Page no. 32
 RD Sharma Solution for Class 10 Maths (2018 (Latest))
Chapter 4: Quadratic Equations
Ex. 4.5 | Q: 1.3 | Page no. 32
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Write the Discriminant of the Following Quadratic Equations: (X − 1) (2x − 1) = 0 Concept: Relationship Between Discriminant and Nature of Roots.
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