For the next Two (2) questions that follow: The equation formed by multiplying each root of a x^2+b x+c=0 by 2 is x^2+36 x+24=0 . The equation formed by multiplying each root of a x^2+b x+c=0 by 2 is x^2+36 x+24=0 . What is b: c equal to?

Step-by-step solution

Let , be roots of equation aligned a x^2+b x+c & =0 + & =-b / a & =c / a aligned So, 2 and 2 we roots of equation aligned x^2+36 x+24 & =0 2 +2 & =-36 + & =-18 -b a & =-18 b=18 a (2 )+(2 ) & =24 & =6 c a & =6 c=6 a b: c=3: & 1 . aligned