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Question
Write the discriminant of the following quadratic equations:
x2 + 2x + 4 = 0
Solution
We have been given, x2 + 2x + 4 = 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 = 1, b = 2 and c = 4.
Therefore, the discriminant is given as,
D = (2)2 - 4(1)(4)
= 4 - 16
= -12
Therefore, the discriminant of the equation is -12.
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