Question

1 added to a positive number gives the square of the number. find the number a

Answer 1

Answer:

x=(1+√5)/2 or (1-√5)/2

Step-by-step explanation:

let number be x

x+1=x²

x²-x-1=0

whole square method

x²-2*x*½+(½)²--(½)²-1=0

(x-½)²=1/4+1

(x-½)²=5/4

x-1/2=±√5/√4

x=1/2+√5/2. or. x=1/2-√5/2

x=(1+√5)/2 or (1-√5)/2