Question

Dicuss the nature of roots of the quadratic equation 2x 2-3x+2=0

Answer 1

Answer:

Given quadratic is 2x

2

+3x+2=0

Comparing it with standard from of quadratic equation ax

2

+bx+c=0, we get a=2,b=3,c=2

Thus discriminant of the given quadratic is

D=b

2

−4ac=9−16=−7<0

Hence roots of given quadratic are imaginary.

Step-by-step explanation:

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Answer 2

2x²-3x+2=0

D = b²-4ac

=> (-3)²-4(2)(2)

=> 9+16

=> 25>0

So, the roots are real and distinct.

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