Question

24(18-x)-24(18+x)=(18-x)(18+x)

Answer 1

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Answer 2

Step-by-step explanation:

24(18-x) -24(18+x)=(18-x)(18+x). 24[(18-x)-(18+x)] =(18-x)(18+x).[taking 24 as

common]

24(18-x-18-x)=(18)^2 - x^2 [since, (a-b)(a+b)

=a^2 -b^2]

24 × -2x = 324 - x^2

-48x = 324 - x^2

x^2 -48x -324 =0

by factorisation method,

x^2 -54x+6x -324=0

x(x-54) +6(x-54)=0

(x-54)(x+6)=0

therefore,

x-54=0. / x+6=0.

x=54. /. x= -6.

hence,

x= 54 or -6.