Question

Which constant must be added and subtracted to solve the quadratic equation 3$x^{2}$ - 5x+2=0 by the method of completing the square?

Answer 1

Answer:

We have,

4x

2

−

3

x−5=0

Divide whole equation by 4,

∴x

2

−

4

3

x−

4

5

=0

∴(x−

8

3

)

2

−

4

5

=

64

3

⇒4(x−

8

3

)

2

−5−

16

3

=0

∴

16

3

must be added to make 4x

2

−

3

x−5=0 a complete square