Question

the nature of the roots of quadratic equation 2x²-3x+5=0 (a) real and distinct (b) not real
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Answer 1

Answer :

(b) no real roots

Solution :

2x² - 3x + 5 = 0

In this equation, a = 2, b = -3, c = 5

∆ = b² - 4ac

= (-3)² - 4(2)(5)

= 9 - 40

= -31

⟶ ∆ < 0

If determinant of a quadratic equation is less than 0, the equation is said to have no real roots

∴ 2x² - 3x + 5 has no real roots