Use the discriminant to describe the roots of each equation. then select the best description. x2 - 5x + 7 = 0 double root real and rational roots real and irrational roots non-real roots

D) non-real roots

Step-by-step explanation:

In the quadratic equation and

we know that the discriminant d = .

if d <0, then the roots are non-real roots

if d = 0, then double roots.

if d >0, then the roots are real and rational/irrational.

We are given

Here a = 1, b = -5 and c = 7.

Let's find the discriminant d =

d = 25 - 28

d = -3

Which is less than zero.

d < 0, so the roots are non-real according the definition stated above.

The answer is D) non-real roots

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3