Question

Which of the following operation would make the equation x²-8√3x a perfect square?
a)add(4√3)²
b)add(8√3x)²
c) subtract (8√3)²
d)add(8√3)²

Answer 1

Answer:

add(8√3x)^2 to make the equation perfect square

Answer 2

The operation that would make the equation x²-8√3x a perfect square is

(a) add (4√3)²

• We know that expansion of (a-b)²

= a² - 2ab + b² ......(i)

• We can write x²-8√3x as x²-2*x*4√3

......(ii)

• By comparing (i) and (ii),

we can conclude that,

b = 4√3 and by adding (4√3)² to

x²-8√3x it will become a perfect

square, that is ( x - 4√3)².