Mathematics
10 Online
OpenStudy (anonymous):
Solve this quadratic equation.
x^2 + 2x - 22 = 0
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OpenStudy (anonymous):
What we have to do in this? :/
OpenStudy (anonymous):
I mean solve it by quadratic formula?
OpenStudy (anonymous):
I believe so?
OpenStudy (anonymous):
The answer is x= -1 plus/minus sqrt(23)
OpenStudy (anonymous):
I just need to know how to get there.
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OpenStudy (anonymous):
LOL @Euler271 explained you na try to do it yourself :P
OpenStudy (anonymous):
\[x_{1,2} = \frac{ -b \pm \sqrt{b^2 - 4ac} }{ 2a }\]
for the equation in the form ax^2 + bx + c
OpenStudy (anonymous):
in the form ax^2 + bx + c = 0 **
OpenStudy (anonymous):
let me know if you want the next step
OpenStudy (anonymous):
LOL let him do it xD
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OpenStudy (anonymous):
46 is what I get.
OpenStudy (anonymous):
@tcarroll010 that is confusing :o :/
OpenStudy (anonymous):
a = 1; b = 2; c = -22
\[x_{1,2} = \frac{ -2 \pm \sqrt{2^2 - 4(1)(-22)} }{ 2(1) } = \frac{ -2 \pm \sqrt{92} }{ 2 }\]
OpenStudy (anonymous):
mmhmm
OpenStudy (anonymous):
\[= \frac{ -2 \pm \sqrt{4}\sqrt{23} }{ 2 } = -1 \pm \sqrt{23}\]
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OpenStudy (anonymous):
@emcrazy14 Where did the sqrt(4) and 23 come from?
OpenStudy (anonymous):
@who? lol
\[\sqrt{a} \times \sqrt{b} = \sqrt{ab}\]
OpenStudy (anonymous):
lol meant @Euler271 anyway, i thought a was 1 and b was 2??
OpenStudy (anonymous):
this is in a general case. for any two numbers a and b
OpenStudy (anonymous):
ah,
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OpenStudy (anonymous):
\[\sqrt{92} = \sqrt{4 \times 23} = \sqrt{4} \times \sqrt{23}\]
OpenStudy (anonymous):
Ah. Makes sense. Thanks!!!!!!