Question

1 added to a positive number gives the square of the number.What is the number

Answer 1

Answer is either 1.62 or -0.62

Answer 2

Answer::--Let the no.be x
A.T.Q-- x+1=x²
x²-x-1=0
using completing the whole square method

(x)²-2*x*1/2+(1/2)²-(1/2)²-1=0
(x-1/2)²=1/4+1
(x-1/2)²=1+4/4
(x-1/2)²=5/4
(x-1/2)=±√5/√4
x=1/2+√5/2 or x=1/2-√5/2

x=(1+√5)/2 or x=(1-√5)/2