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Questions
Find the nature of the roots of the following quadratic equation. If the real roots exist, find them:
2x2 - 3x + 5 = 0
Determine the nature of the roots of the following quadratic equation:
2x2 - 3x + 5 = 0
Solution
Consider the equation
x2 - 3x + 5 = 0
Comparing it with ax2 + bx + c = 0, we get
a = 2, b = -3 and c = 5
Discriminant = b2 - 4ac
= (-3)2 - 4 (2) (5)
= 9 - 40
= -31
As b2 - 4ac < 0,
Therefore, no real root is possible for the given equation.
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