plz give me the option
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1
Answer:
-6
Step-by-step explanation:
Let us assume the whole value ( √ 42 + √42 + √ 42 +........ infinite ) as ' x '
X = √ 42 + √42 +√42 + ......
important :-
If x = √ a + √ a + ....
then then values √a + ( √a + √a + .... ) will also be x
Then
x = √ 42 + x
x^2 = 42+x
x^2 - 42 -x = 0
a = 1 , b= -42 , c = -1
x = -b ±√ b^2 - 4ac /2a
x = 42 ± √ 1764 - 4(1)(-1) / 2( 1)
x = 42 ± √ 1768 / 2
x = 1± √ 1+ 4(42) / 2
x = 1± √ 169 /2
x = 1 ± 13 / 2
( + )
x = 14/2 = 7
(-)
x = -12/2 = -6
FØLLØW MÉ
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