Question

Given the trinomial 5x2 - 2x - 3, predict the type of solutions.
Two rational solutions
One rational solution
Two irrational solutions
Two complex solutions
I don't understand!

Answer 1

for a trinomial
\(\Large ax^2 +bx+c\)

find out
\(\huge D = b^2 -4ac\)

Answer 2

okay what would d stand for though?

Answer 3

if D is Negative, then 2 complex solutions

if D is Positive, then Real Solutions

if D is a perfect square , then Rational Solutions

IF D is =0 , then only one solution

Answer 4

compare \(\Large 5x^2 -2x-3\)
with
\(\Large ax^2+bx+c\)

fins a,b,c
can you ?

Answer 5

okay

Answer 6

**find a,b,c

Answer 7

need help with that ?

Answer 8

no sorry for taking so long i was talking to someone

Answer 9

a=5
b=-2
c=-3
Is this correct?

Answer 10

absolutely correct :)

Answer 11

cool okay let me try this

Answer 12

now find \(D = b^2-4ac = ..\)

Answer 13

\[D=-2^{2}-4\left( 5 \right)\left( -3 \right)\]

Answer 14

\[D=-2^{2}-4\left( -15 \right)\]

Answer 15

careful with the brackets !
\(D = (-2)^2 - 4 (5)(-3)\)

Answer 16

\[D=-2^{2}+50\]

Answer 17

oops sorry

Answer 18

\[D=\left( -2 \right)^{2}+50\]

Answer 19

\[D=-4+50\]

Answer 20

noooo

Answer 21

oh crap

Answer 22

its
\(\Large b^2\)

and b = -2

so it'll be
\((-2)^2 \)

Answer 23

\((-2)^2 = (-2)\times (-2) =+4\)

makes sense ?

Answer 24

oh okay

Answer 25

so i just had to make it positive

Answer 26

\[D=4+50=54\]

Answer 27

\(\Large -4 (5)(-3) = -4 (-15) = +60\)

Answer 28

wow i was really off

Answer 29

:(

Answer 30

okay so it would be 64

Answer 31

not much :) mistakes happen, that only means you're learning :)

Answer 32

yes D =64

Answer 33

so it would be b?

Answer 34

now what is D (64) among these?

if D is Negative, then 2 complex solutions

if D is Positive, then Real Solutions

if D is a perfect square , then Rational Solutions

IF D is =0 , then only one solution

Answer 35

b

Answer 36

b : One rational Solution ??? NO
we have one solution when D =0

Answer 37

but what does it mean if it is a perfect square?

Answer 38

is 64 a perfect square ?

or you wanna know what is "perfect square"

Answer 39

what would be considered a perfect square?

Answer 40

a perfect square is a number whose square root is an integer

Answer 41

like 25 is a perfect square
because
\(\sqrt {25} = 5\)

Answer 42

whether 2 is not a perfect square because \(\sqrt {2} = 1.414\)
and 1.414 is not an integer

Answer 43

whats \(\sqrt {64} =.. ?\)
you know ?

Answer 44

8

Answer 45

is 8 an integer ?
if yes, then 64 is a perfect square :)

Answer 46

8 is an integer
so you wouldnt have to completely break it down in order to know?

Answer 47

i didn't get your question .. .

Answer 48

if D is a perfect square , then 2 Rational Solutions

Answer 49

oh i got it okay thank you so much for your help!!!

Answer 50

welcome ^_^