Question

Discuss the nature of the roots of the following equations :

☆ 2x² - 4x + 3 = 0​

Answer 1

The given equation is 2x² - 4x + 3 = 0.

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• Comparing with ax² + bx + c = 0

We get,

➣ a = 2

➣ b = -4

➣ c = 3

∴ Discriminant = b² - 4ac

➺ (-4)² - 4.2.3

➺ 16 - 24

➺ -8 < 0

❑ Therefore,

• Hence, the given equation has no real roots.

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Answer 2

Given

2x² - 4x + 3 = 0

• Comparing with ax²+bx+c=0

We get

a=2

b=-4

c=3

Discriminant b²-4ac

(-4)²-4(2)(3)

16-24

-8<0

• Hence the equation has no real roots .