Quadratic equation

Determine the numbers b and c that the numbers x1 = -7 and x2 = 5 were roots of the quadratic equation:

3x2+bx+c=0

Correct answer:

b =  -6
c =  105

Step-by-step explanation:

a x2+b x+c=0 a=3 x1=7 x2=5  a x2+b x+c = a(xx1) (xx2)=0 b=a x1a x2=(3) (7)(3) 5=6
c=a x1 x2=(3) (7) 5=105



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