Question

The quadratic x2 + 5x – 14 has what type of roots?

Two Irrational

Two Complex

Two Rational

One Rational Double

Answer 1

factor that bad boy

Answer 2

idk how

Answer 3

two numbers that multiply to give you -14 and add to give you 5

Answer 4

Iwhat are they

Answer 5

?

Answer 6

\[b^2-4ac=?\]

Answer 7

yeah i got -8

Answer 8

In general ax^2+bx+c you can factor by getting the two numbers that multiply to give you c and add to give you b

Answer 9

In this case -2 and +7

Answer 10

So it factors like (x-2)(x+7)

Answer 11

therefore roots are 2 and -7

Answer 12

\[b^2-4ac \text{ is a perfect square but not 0 then both solutions are rational}\]
\[b^2-4ac \text{ is negative then both solutions are imaginary }\]
\[b^2-4ac \text{ is not a perfect square then both solutions are irrational} \]
\[b^2-4ac \text{ is 0 then there is one solution with multiplicity 2 }\]

Answer 13

http://www.wolframalpha.com/input/?i=x2+%2B+5x+%E2%80%93+14+

Answer 14

i just need to find out what type of root -8 is

Answer 15

Its better to factor and see for himself

Answer 16

thery are both rational b^2-4ac does not equal -8

Answer 17

@prestonchatman37 so you got \[b^2-4ac \text{ is negative } ?\]

Then based on what I said above what can you say about your solutions?

Answer 18

5^2-4(1)(-14)=81

Answer 19

Yes that looks better what @Bitmaximus has
So
\[b^2-4ac =81 \]
is 81 a perfect square or not?

Answer 20

it is

Answer 21

I wanted him to answer but ok lol

Answer 22

Haha lol and I just wanted him to factor the polynomial

Answer 23

:P