Question

(x-1) (x+2) = (x+2) (x-2), find x​

Answer 1

Given, x+

x

1

=2.

On squaring both side, we get,

(x+

x

1

)

2

=4.

We know, (a+b)

2

=a

2

+b

2

+2ab.

⟹ x

2

+(

x

1

)

2

+2(x)(

x

1

)=4

⟹ x

2

+

x

2

1

=4−2=2.

Therefore, option A is correct.

Answer 2

$\huge{\mathfrak{\blue{\underline{\underline{\pink{SOLUTION:-}}}}}}$

(x-1) (x+2) = (x+2) (x-2)

x² + 2x - x - 2 = x² - 2x + 2x - 4

x² - x - 2 = x² - 4

x² - x² - x - 2 + 4 = 0

-x + 2 = 0

x = 2