Question

(ii) x2 – 2x = 48. solve the following equations ​

Answer 1

x^2 -2x=48

x^2 -8x+6x-48=0

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

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

so, x=-6 or 8

Answer 2

Answer:

x = -6 and 8

Step-by-step explanation:

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

Now, for the above equation to be zero, either (x+6) = 0 or (x-8) = 0

So, x + 6 = 0 => x = -6

or, x -8 = 0 => x = 8

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