Question

Find the value of 132−132−132−...∞−−−−−−−−−√−−−−−−−−−−−−−−−√−−−−−−−−−−−−−−−−−−−−−√

Answer 1

Step-by-step explanation:

√132-√132 - - - - - - - ∞ = ?

assume it as x

√132-√132 - - - - - - - ∞ = x

the part after it will also be equal to x.

replacing it with x

√132 -x = x

squaring on both sides

132-x = x²

x²+x-132 = 0

x²+12x-11x-132 = 0

x(x+12)-11(x+12)= 0

(x-11)(x+12) = 0

one of them should be zero to make the product zero.

x-11 = 0

x= 11

x+12 = 0

x= -12

therefore

x= 11,-12 (answer)

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