Question

Solve, by factorisation, x^2 - (✓3 +1)x + ✓3 = 0.
​

Answer 1

Step-by-step explanation:

Given equation is x

2

−(

3

+1)x+

3

=0

(x−

2

3

+1

)

2

+

3

−(

2

3

+1

)

2

=0

(x−

2

3

+1

)

2

+

3

−

4

4+2

3

=0

(x−

2

3

+1

)

2

+

3

−1−

2

3

=0

(x−

2

3

+1

)

2

=1−

2

3

(x−

2

3

+1

)

2

=(

2

3

−1

)

2

x−

2

3

+1

=±

2

3

−1

x=

3

,1