Question

11) Explain the nature of root of 2x²-3x+5=0​

Answer 1

Nature of the quadratic equation can be found out using the following formula

b2 – 4ac > 0 for real roots

When we compare the above quadratic equation with the generalized one we get,

ax2 + bx + c = 0

a = 2

b = -3

c = 5

⟹ (-3)2 – (4 × 2 × 5)

⟹ 9 – 40

⟹ -31