Question

Use the quadratic formula to find any x-intercepts on the graph of the equation.

y=x^2+6x-10

Answer 1

equate with 0

Answer 2

x^2+6x-10=0

Answer 3

find values of x, and that's the intersections

Answer 4

-b+or-sqrt ((b^2-4ac)/2a)

Answer 5

okay, after setting it up to = 0 you have to factor 6 and 10 correct?

Answer 6

it's all up to you, whatever method you choose

Answer 7

yes, you can do it like that

Answer 8

okay well they have common factors of 2..but I dont know what makes 6 but multiples into 10?

Answer 9

\[y = a x ^{2} + bx + c\]

Answer 10

yeah, this method can not move you further, use \[x=\frac{ -b+\sqrt{b ^{2}-4ac} }{ 2 }\]

Answer 11

Jack1, have shown

Answer 12

dude its over 2a, not 2

Answer 13

and its plus or minus

Answer 14

yep, it's so buggy

Answer 15

cool website though

Answer 16

peckce how're u doing?

Answer 17

Sorry, I am just trying to put all the info in the formula..I really hate this formula.

Answer 18

@Jack1, yes website is great, but it has leaks

Answer 19

sometimes i can not enter it, xD

Answer 20

okay so it should look like this, \[-6\pm \sqrt{6} ^{2}-4(1)(-10) / 2(1)\]

Answer 21

yes

Answer 22

leaving us with \[-6\pm \sqrt{36-40}/ 2 = -6\pm \sqrt{-4}/2\]

Answer 23

nope

Answer 24

36+40

Answer 25

so 76

Answer 26

\[\sqrt{76}= 39?\]

Answer 27

no and no

Answer 28

dang.

Answer 29

−3±√14

Answer 30

could you show me how that works?

Answer 31

??

Answer 32

yep

Answer 33

how works formula u mean?

Answer 34

no how you got\[-3\pm \sqrt{14} \]

Answer 35

do you see the formula above?

Answer 36

Jack1 told that ax^2+bx+c=0, then mine

Answer 37

yeah i seen it and last I had was \[-6\pm \sqrt{76}/2 \]

Answer 38

\[\sqrt{76}=\sqrt{4*14}=2\sqrt{14}\]

Answer 39

so...

Answer 40

got it?

Answer 41

yes and then we divide 2 into the \[-6 \pm \]?

Answer 42

yes

Answer 43

dont you mean sqrt 19...?

Answer 44

therefore it leaves us with \[-3\pm 1\sqrt{14} ??\]

Answer 45

yep

Answer 46

How is the Sqrt of 19?

Answer 47

my intercepts were approx 1.36 and -7.36 ish
exact answers ((sqrt19) - 3) and -((sqrt19) +3)
is that what you got pecke?

Answer 48

I was at sqrt of 76/2 since then i've been lost.

Answer 49

as sqrt 76 is 2 x sqrt 19

Answer 50

click on my atachment for the answer

Answer 51

@cmm I did, the graph just should the point at -9... I am unsure of how it's answer when I need it in the radical form.

Answer 52

therefore would the new answer be \[-3\pm 1 \sqrt{19}\]

Answer 53

x = 3

Answer 54

[-6 +/- (sqrt 76)] / 2

=-3 +/- (sqrt 76)/2

=-3 +/- (2x(sqrt 19))/2

=-3 +/- (sqrt 19)

2 x intercepts so 2 answers
that's where the plus OR minus comes in, one for each intercept

Answer 55

yes

Answer 56

but how come it doesn't have it showing 2/2 = 1 giving it -3+/- 1 sqrt 19?

Answer 57

you can have 1x sqrt 19... but it still just equals sqrt 19...

Answer 58

sorry i miscalculated((

Answer 59

Okay, I only ask because my last question like this one, showed the 1

Answer 60

Nevermind I was mistaken it didn't

Answer 61

i think it's a waste of space writing the one and it may be mistaken for subscript on the root factor (ie cube root is \[\sqrt[3]{?}\]

Answer 62

their are two answers (0,0) and (6,0) as the x intercept

Answer 63

okay so final answer should look like this. \[-3+\sqrt{19}, -3-\sqrt{19}\]

Answer 64

yep, perfect if you want exact answers, 1.36 and -7.36 if you're just looking to plot it by hand

Answer 65

nope, thankfully don't have to do that. thank you guys!

Answer 66

sall good, happy dayz