quadratic equations

Algebra Level 2

If x = 3 + 3 + 3 + … x = \sqrt{ 3 + \sqrt{ 3 + \sqrt{ 3 + \sqrt{ \ldots } } } } , then which of the following statements must be true?

x²-x-3=0 x²+x+3=0 x²-x+3=0 x²+x-3=0

Rushi Wawge by rushi wawge , 20, India

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2 solutions

Rushi Wawge
Nov 17, 2014

x=√3+x squaring both sides x²=3+x
x²-x-3=0

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Use LATEX, your question will look superb!

jaiveer shekhawat - 6 years, 6 months ago
Sai Ram
Apr 24, 2016

x = 3 + x x = \sqrt{3 + x}

Squaring on both sides,

x 2 = 3 + x x^2 = 3 + x

x 2 − x − 3 = 0 x^2 - x - 3 = 0

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