Question

Determine the nature of the solutions of the equations.

Answer 1

\[y^{2}={5\over6}y+{1\over2}\]

Answer 2

a. the equation has one real solution
b. the equation has two non-real solution
c. the equation has two real solutions

Answer 3

c. the equation has two real solutions

Answer 4

is this correct?

Answer 5

I'm not getting that
how did you check it?

Answer 6

I solved the problem

Answer 7

all you need to do is check the discriminant
do you know what that is?

Answer 8

@Turing as far as I know yes .. the asker knows about it.. it is just asking to confirm it is right..

The answer is you are correct.

Answer 9

Oh I'm sorry you're right "P

Answer 10

b^2 - 4ac

Answer 11

ok tytytyty

Answer 12

Sorry my mistake...
Yes I made c positive...
alas I am human :(

Answer 13

ok, i'll be back. tytytytyty

Answer 14

turing made a mistake? Rare happening indeed! i thought you were a PC :d

Answer 15

The ultimate proof of humanity... I told you I make mistakes

Answer 16

@turing would u mind me asking you what course are you taking ( i may take help from you if we are in same course)

Answer 17

Thanks but unfortunately I am in calculus officially (again) but through my own studies have covered a fair amount of differential equations.
It's a long story... but I can help you in the multivariable I happen to know.

Answer 18

i thought you were in some engineering course

Answer 19

your knowledge is vast :D

Answer 20

no 8th grade quiz

Answer 21

Give exact and approximate solutions to three decimal places.

Answer 22

I am between countries at the moment, but my own studies are outside the realm of courses I have taken. I hope to get into a solid engineering school soon, right now it is fairly remedial.

Answer 23

\[x^{2}+7x-3=0\]

Answer 24

a. x = 0.405 and x = 7.405
b. x = 0.41 and x = 7.41

Answer 25

are these answers correct?

Answer 26

We are in same boat turing !!!!!!! i was in the same situation. i was between countries sigh, so my situation is similar to yours

Answer 27

@notebook, what did you get as your answer?

Answer 28

a and b are my answers

Answer 29

a. is approx
b. is exact

Answer 30

b. cannot be exact, how do you figure so?

Answer 31

b is rounded to the nearest number

Answer 32

almost correct... it should be -7.405

and a. is exact
b. is approx which is rounded

Answer 33

phew, thx i missed that.

Answer 34

if you want exact you have to keep it in the square root format, because sqrt{49+4*3) is irrational

Answer 35

...so no rounding

Answer 36

the quiz asked for approximate and exact

Answer 37

so exact is what turing says approx is b

Answer 38

the width of a rectangle is 1 ft less than the length. the area is \[30 ft ^{2}\]. Find the length and the width.

Answer 39

a. Length = 5
b. Width = 6

Answer 40

is this correct?

Answer 41

nope a silly error!! read again

Answer 42

I beleive it is correct, but let akshay check

Answer 43

width is 1 feet LESS than the length... not MORE

Answer 44

i'm sorry i mixed the answers up
I do have w = 5 L= 6

Answer 45

sorry about that.

Answer 46

:D

Answer 47

oh I didn't look at that bit... Just saw the numbers :P

Answer 48

lol and u made me look at the question 5 times ! :P

Answer 49

teach you not to trust me!
got any more notebook?

Answer 50

i trusted you, trust you and will trust you :P :P

Answer 51

Find and label the vertex and the line of symmetry. Graph the function.
\[f(x)=(x+2)^{2}\]

Answer 52

vertex = (-2,0)
symmetry is x = -2

Answer 53

yes

Answer 54

tytytytyty

Answer 55

thank you for trying :)

Answer 56

you are done?
@Turing hope to talk to you soon :D

Answer 57

Likewise, though I don't know what I have to say
more notebook?

Answer 58

Solve by completing the square.

Answer 59

\[m ^{2}-{9\over2}m={3\over2}\]

Answer 60

let me answer, first. one moment

Answer 61

\[m=-9+\sqrt{105\over4} or -9-\sqrt{105\over4}\]

Answer 62

not what I'm getting, I'll show...

Answer 63

silly mistake again

i am getting

\[(9\pm \sqrt{105})/4\]

Answer 64

I don't have the option of using the ± sign

Answer 65

yes that's it...

Answer 66

phew, tyutytytyty

Answer 67

the four is or is not under the square root?

Answer 68

Not

Answer 69

should not be, I'm trying to point out the difference to notebook
hers is

Answer 70

ok. i get it.

Answer 71

so can we take a leave?

Answer 72

i looked over the examples and it's like that in the examples

Answer 73

nope, it shouldn't be.. 4 doesnt come in the root, it must be a mistake

Answer 74

ok

Answer 75

you got anything else?

Answer 76

oh yea

Answer 77

go ahead then

Answer 78

Solve\[3x ^{2}=21\]
Find the x-intercepts of \[f(x)=3x ^{2}-21\]
What are the solutions?
What are the x-intercepts?

Answer 79

\[(\sqrt{7},0) and (-\sqrt{7},0 )\]

Answer 80

yep

Answer 81

x = 7

Answer 82

?

Answer 83

the first one was correct

Answer 84

The solutions is x = 7

The x-intercepts are (7√,0)and(−7√,0)

Answer 85

the solution is\[x=\pm\sqrt7\]

Answer 86

try checking it by resubsituting the value of x that you got in the original equation

Answer 87

since i don't have the option of using the ± symbol. so i should say \[x=+\sqrt{7} and -\sqrt{7} ?\]

Answer 88

I guess, sure

Answer 89

yes..

Answer 90

as akshay said look at the fact that this makes it true\[3(\sqrt7)^2=21\]\[3(\sqrt{-7})^2=21\]so there are two answers, however you want to write it

Answer 91

Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function, and graph the function.
\[f(x)=9-x ^{2}\]

Answer 92

vertex is (0,9)

Answer 93

x=0

Answer 94

y=9

Answer 95

Symmetry is x=0

Answer 96

downward open be neg coeff

Answer 97

Max of f(x) = 9

Answer 98

the max is f(0)=9
yes :) all correct