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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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