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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