SOLUTION: the sum of a positive number and its square is 19. find the number to the nearest hundredth

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Question 932460: the sum of a positive number and its square is 19. find the number to the nearest hundredth
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
x+x^2=19
x^2+x-19=0
a= 1 , b= 1 , c= -19

b^2-4ac= 1 + 76
b^2-4ac= 77
%09sqrt%28%0977%09%29=%098.77%09
x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29
x1=%28-b%2Bsqrt%28b%5E2-4ac%29%29%2F%282a%29
x1=( -1 + 8.77 )/ 2
x1= 3.89
x2=%28-b-sqrt%28b%5E2-4ac%29%29%2F%282a%29
x2=( -1 -8.77 ) / 2
x2= -4.89