Question

in which of the following quadratic equations have real root
1). 3x^2+ X - 1
2). y^2 + 4 y + 4
3). 2 X^2 + 5 x + 4​

Answer 1

Step-by-step explanation:

To find real root,

We need to check the discriminant value(∆)

here, ∆= b² - 4ac

When ∆ > 0 roots are real and distinct .........(i)

∆ < 0 roots are unreal and imaginary.........(ii)

∆ = 0 roots are real and equal...........(iii)

(1) 3x² + x - 1

b² - 4ac

1² - 4(3)(-1)

1 + 12

13

Therefore, roots are real and distinct

(2) y² + 4y + 4

b² - 4ac

16 - 4(1)(4)

0

Therefore, roots are real and equal

(3) 2x² + 5x + 4

b² - 4ac

5² - 4(2)(4)

25 - 32

-7

Therefore, roots are unreal and imaginary

Hope this helps u.....

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