Question

Product of roots of quadratic equation is -6 and sum of roots is 5. Equation is 2x^2+bx+c=0. Find value of coefficient of b and c.

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Answer 1

Answer:

b=-10, c=-12

Step-by-step explanation:

let roots be y and z

2x^2+bx+c=0

given that you+z=5 and yz=-6

here in given equation

a=2,b=b, c=c

y+z=-b/a

>5=-b/2

>-b=5×2

>-b=10

>b= -10

Now,

yz=c/a

>-6=c/2

>c= -6×2

>c= -12