Question

ha
EXERCISE 3
Solve: x? - 5 x + 6 = 0.
​

Answer 1

Step-by-step explanation:

The solutions are

x

=

2

,

x

=

3

Explanation:

x

2

−

5

x

+

6

=

0

Here we can first factorise the expression and then find the solution:

Factorising by splitting middle term

x

2

−

2

x

−

3

x

+

6

=

0

x

(

x

−

2

)

−

3

(

x

−

2

)

=

0

(

x

−

2

)

(

x

−

3

)

=

0

Equating the two factors with zero to obtain solutions:

x

−

2

=

0

,

x

=

2

x

−

3

=

0

,

x

=

3

Answer 2

Answer:

x = 2 or 3

Step-by-step explanation:

x²-5x + 6 = 0

So, x²-3x-2x+6 = 0

or, x(x-3)-2(x-3) =0

or, (x-2)(x-3) = 0

or, x-2 = 0 or x-3 = 0

i.e, x = 2 or x = 3