Suppose we have a quadratic equation ax²+bx+c=0 so that a+c=0.does the quadratic equation have one solution or two distinct solutions? are they real or complex? explain how you know.

The roots of equation are real and distinct.

Step-by-step explanation:

Given that

ax²+bx+c=0

a+c=0

To find the behavior of roots we have to find out D

If

D> 0  Two real distinct roots

D=0  Two equal roots

D<0 Tow imaginary  roots

a+c=0

a= - c

It means that D>0 .So the roots of equation is real and distinct.

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet