Question

Use the discriminant to determine the number and type of solutions the equation has.

x2 + 8x + 10 = 0

A.
no real solutions

B.
one real solution

C.
two rational solutions

D.
two irrational solutions

Answer 1

Okay, first, what's a discriminant?

Answer 2

In the quadratic formula, the discriminant is \(\sqrt{b^2-4ac}\)

Answer 3

Here, \(x^2 + 8x + 10 = 0\)
a=1
b=8
c=10

Replace a,b,c in the discriminant by those numbers and tell me what you'll get.

Answer 4

@jim_thompson5910 , may you help me ?

Answer 5

did zepp's explanation make sense?

Answer 6

Not really .

Answer 7

I think its B

Answer 8

The discriminant is D = b^2-4ac

Answer 9

Oh . The answer is D ? Thats what your saying ?

Answer 10

In the case of x^2 + 8x + 10, we see that a = 1, b = 8 and c = 10

So

D = b^2-4ac

D = (8)^2-4(1)(10)

D = 24

Answer 11

If the discriminant is positive, what does that mean?

Answer 12

Im not sure

Answer 13

If the discriminant is positive, then you'll have two real solutions. Since the discriminant is NOT a perfect square, this means that you'll have 2 irrational solutions.

Answer 14

OH . So D !!

Answer 15

yes you got it

Answer 16

Um, so how my explanation doesn't make sense? :(