Mathematics
Find the nature of the roots of the following quadratic equation. If the real roots exist, find them :
2x2 - 3x + 5 = 0
Quadratic Equations
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Answer
Comparing 2x2 - 3x + 5 = 0 with ax2 + bx + c = 0, we get :
a = 2, b = -3 and c = 5.
Substituting values in b2 - 4ac, we get :
⇒ (-3)2 - 4(2)(5)
⇒ 9 - 40
⇒ -31.
Since, b2 - 4ac < 0.
∴ There are no real roots.
Hence, real roots does not exist.
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