Question

Write the discriminant of the following quadratic equations:

(x − 1) (2x − 1) = 0

Answer 1

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.