Find the number.

Algebra Level 2

Find the non negative number, which when incremented by one , gives its square.(Till 3 decimals)


The answer is 1.618.

Radha Krishnan B by Radha Krishnan B , 48, India

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3 solutions

Kushagra Sahni
Jun 25, 2014

This is the popular constant phi.

1 Helpful 0 Interesting 0 Brilliant 0 Confused
Radha Krishnan B
Jun 11, 2014

Let the Number be x. Now, x+1=x^2 so, x^2-x-1=0; therefore, x=(1+sqrt(1+4))/2 or (1-sqrt(1+4))/2 Since x >0, x=(1+sqrt(5))/2=1.6180339 ..

1 Helpful 0 Interesting 0 Brilliant 0 Confused

Hey, I guess you're from Chennai. Which grade/school are you in? @radha krishnan b

Krishna Ar - 6 years, 11 months ago
Unstable Chickoy
Jun 14, 2014

x + 1 = x 2 x + 1 = x^2

x = 1.618033989 x = \boxed{1.618033989}

0 Helpful 0 Interesting 0 Brilliant 0 Confused

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