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secondary 3 | E Maths
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Pls help
Date Posted: 3 years ago
Views: 222
You will get sqrt (x + 3) = 3.
x = 6
If I have time; I explain why this is the case
x = 6
If I have time; I explain why this is the case
√(x + √(x +√(x +....) ) ) = 3
Square both sides,
x + √(x +√(x +....) ) = 3²
Notice that there is a recurring /nested square root. It goes on to infinity.
Basically, squaring it results in the appearance of the original expression again.
So,
x + 3 = 3²
x = 3² - 3 = 9 - 3 = 6
Square both sides,
x + √(x +√(x +....) ) = 3²
Notice that there is a recurring /nested square root. It goes on to infinity.
Basically, squaring it results in the appearance of the original expression again.
So,
x + 3 = 3²
x = 3² - 3 = 9 - 3 = 6
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