Question

2. what is the solution of the quadratic equation 2 2 − 7 + 6 = 0? a) 2, 2 3 b) −2, 3 2 c) − 3 2 , 2 d) 3 2 , 2​

Answer 1

2

x

2

+

3

(1−2

2

)x−6=0.

2

x

2

+

3

x+2

6

x−6=0

2

x

2

+x(

3

−2

6

)−6=0

x=

2a

−b±

b

2

−4ac

a=

2

,b=(

3

−2

6

),c=−6

b

2

−4ac=3+24−12

2

+24

2

=(

3

+2

6

)

2

x=

2

2

−(

3

−2

6

)±(

3

+2

6

)

Take positive,x=2

3

and take negative,x=

2

−

3