Question

6 Determine the
the quadratic
of
hature of the root
quadratic equation
x square- 3 x = 2

​

Answer 1

x

2

−3x+5=0

a=2,b=−3,c=5

Discriminant, D=b

2

−4ac=9−40=−31

Since D<0, the roots are imaginary for the given equation.

ii)

3x

2

−4

3

x+4=0

a=3,b=−4

3

,c=4

Discriminant, D=b

2

−4ac=48−48=0

Since D=0, the roots are real and equal for the given equation.

3x

2

−4

3

x+4=0

a=3,b=−4

3

,c=4

x=

2a

[−b±

b

2

−4ac

]

x=

6

4

3

=

3

2

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