Question

find the quadratic equation whose roots are -5,-11
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Answer 1

Answer:

x^2 +16x+55=0

Step-by-step explanation:

Let -5 be alpha and -11 be beta

sum of roots=-b/a

alpha +beta= -5+(-11)

= -16

a=1 and b=16 ( -b =-16 ____b = 16)

product of roots =c/a

alpha*beta=-5*-11

=55

c=55 and a = 1

so

x^2 +16x +55 = 0