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Question
The number of real roots of the equation x2 + 3x + 2 = 0 is ______.
Fill in the Blanks
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Solution
The number of real roots of the equation x2 + 3x + 2 = 0 is 2.
Explanation:
Factorise x2 + 3x + 2 = (x + 1)(x + 2) = 0, so x = –1 or x = –2 (two real roots).
Alternatively, the discriminant D = b2 – 4ac = 9 – 8 = 1 > 0, so there are two distinct real roots.
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