SOLUTION: If a and b are positive real numbers and each of the equations {{{ x^2+ax+2b=0}}} and {{{x^2+2bx+a=0}}} has real roots, what is the smallest possible value of a+b?
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Quadratic Equations and Parabolas
-> SOLUTION: If a and b are positive real numbers and each of the equations {{{ x^2+ax+2b=0}}} and {{{x^2+2bx+a=0}}} has real roots, what is the smallest possible value of a+b?
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Question 670823: If a and b are positive real numbers and each of the equations and has real roots, what is the smallest possible value of a+b? Answer by swincher4391(1107) (Show Source):
You can put this solution on YOUR website! Using the quadratic formula on the first one we get:
Second:
Which when set equal to each other we get b = (a/2) and so b = 2 and a = 4
So a+b = 6
