7x^2-9x+5=0 find the discriminant and number of real solutions

Discriminant = -59

There are no real solutions

Step-by-step explanation:

7x^2-9x+5=0

We apply the discriminant formula

D =b^2 -4*a*c

Where a, b and c are obtained by expressing the quadratic equation in the form ax^2 +bx+c =0

D = (-9)^2 - 4*(7)*(5)  = -59

Since D <0 The solutions are complex conjugates

a.) list the factors of 40.

1/2/4/5/8/10/20/40

b.) list the factors of 40 that represent the number of cans that could be on each shelf.

5

c.) how many different arrangements of cans are possible?

just one because if you put more on one shelf you will go way over 40 and the cabinet will probably break.

d.) what are the possible arrangements of the cans?

put 5 cans on each self to reach 40 cans in total.

e.) which arrangement uses all the shelves?

5 because you can put 5 cans on each shelf, and since there are 8 shelfs you are equally going to get 40 cans.

step-by-step explanation:

given expression is .

now we need to simplify the given expression .

we know that square root is equivalent to the power 1/2. so that means we can take half of the exponents to get the square root of given expression.

expanding that will give a very very large number so let's keep answer in exponent form.