Question

Solve the following

x²-2x=48​

Answer 1

Answer:

x

2

−2x=48

Let us simplify the given equation,

By factorizing, we get

x

2

−2x−48=0

x

2

−8x+6x−48=0

x(x−8)+6(x−8)=0

(x−8)(x+6)=0

So,

(x−8)=0 or (x+6)=0

x=8 or x=−6

∴ Value of x=8,−6

Answer 2

Solution :

$\: \: \: \: \: \: {x}^{2} - 2x = 48$

$= > {x}^{2} - 2x - 48 = 0$

$= > {x}^{2} - 8x + 6x - 48 = 0$

$= > x(x - 8) + 6(x - 8) = 0$

$= > (x - 8)(x + 6) = 0$

$= > x - 8 = 0 \: \: \: \: or \: \: \: \: x + 6 = 0$

$= > x = 8 \: \: \: \: or \: \: \: \: x = - 6$