Question

Find the nature root of 2x² -4x -3=0

Answer 1

The nature of roots of the given quadratic equation is real and unequal.

Step-by-step-explanation:

The given quadratic equation is

2x² - 11x + 9 = 0.

Comparing with ax² + bx + c = 0, we get,

a = 2

b = - 11

c = 9

Δ = b² - 4ac

➞ ( - 11 )² - 4 × 2 × 9

➞ 121 - 8 × 9

➞ 121 - 72

➞ Δ = b² - 4ac = 49

Here,

Δ = 49 > 0

∴ The nature of roots of the given quadratic equation is real and unequal.