determine the nature of the roots of the following equations from their discriminant x²+x+2=0.
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Answer:
Step-by-step explanation:
x² + x + 2 = 0
Discriminant = √b² - 4ac
= √ (1)² - 4(1)(2)
= √1-8
= √-7
Discriminant is negative. Since you cannot find the square root of a negative number using real numbers, there are no real solutions. However, you can use imaginary numbers. You will then have two complex solutions, one by adding the imaginary square root and one by subtracting it.
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