Please help (Quadratics)
@Nnesha
@RCCB
\[\frac{ -b \pm \sqrt{b^2-4ac} }{ 2a }\]
@bluediamond1999
Start by plugging 7 in for a, -2 in for b, and -1 in for c in the quadratic formula.
The solution I got is not one of the answer choices. :-( I'm so sorry.
Ax^2+Bx+C=0 quadratic equation where a=leading coefficient b= coefficient of x term(middle term) c=constant so a , b, c are what in ur equation ?
are you there ? o.O
ah i just saw blue is already mentioned what a , b and c are so just plug them into the formula
oh**
sorry, I was away from the computer.
This question has been open for an hour xD
When I plug it in, the solution I got didn't match the answer choices.
alright show your work all steps so i'll try to find out the mistake
\[\frac{ -7+\sqrt{7^2-4(7)(-1)} }{ 2(7) }\]
hmm what is B in the original equation ? remember b is coefficient of x term not x^2 term
\[-2\pm \sqrt{-2^2-4(7)(-1)}\]
there is a a liittle mistake b is -2 and there is already negative at front of b in the formula so it would be \[\large\rm \frac{ -(\color{Red}{-2})+\sqrt{(\color{ReD}{-2})^2-4(7)(-1)} }{ 2(7) }\] and please put parentheses (-2)^2 not -2^2
now simplify that :=))
\[-(-2)\pm \sqrt{32}\]
\[(14)\]
right how would you simplify -(-2) = ? it's same as -1(-2)=?
and factor 32 find two factor of 32 one of them should be perfect square
hmm no -1(-2) means -1 times -2
alright, 2
right. what are the factors of 32 ?
1,2,4,8,16,32
right we need greatest common factor and it should be the prefect square root meaning when you take square root of that number you should get perfect number not decimal so which one would you pick ?
16
right so we can rewrite 32 as 16 times 2 \[\rm \frac{ 2 \pm \sqrt{16*2} }{ 14 }\] take square root of 16 square root of 16 is 4 \[\rm \frac{ 2 \pm 4\sqrt{2} }{ 14 }\] now take out the common factor from the numerator
\[-2+\sqrt{6}\]
\[\frac{\color{Red}{ 2} \pm \color{blue}{4\sqrt{2}} }{ 14 }\] red=first term blue= 2nd term what is common in both terms ?
2
right take it out and then simplify let me know what you get after this
hmm 6 ?? what would you get when u take out 2 from (2 plus/minus 4 sqrt{2} ) ??
5.656
in other words when we take out common factor basically we divide it (2 +/- 4sqrt{2}) by 2
3.82
-sighs-
no don't use calculator
here is an example \[\rm 3x+6\] 3 is common factor so i'll take it out by dividing both terms by 3(common factor)\[\rm \frac{ 3x }{ 3 }+\frac{6}{3} \rightarrow 3(1x+2)\]
so by looking at that example what would you get when utake out 2 from (2 +/- 4sqrt{2})
\[\frac{ 2x }{ 2 }+\frac{ 4 }{ 2 }\rightarrow2(1x+2)\]
it's \[\frac{ \color{ReD}{2 \pm 4\sqrt{2} }}{ 14 }\] so divide \[2 \pm 4\sqrt{2}\] by 2 first to take out the common factor
Wow. I'm really bad at this.
\[\large\rm x= \frac{ \color{Red}{\frac{2}{2} \pm \frac{4\sqrt{2}}{2}} }{ 14 }\] we are taking 2 from (2 +/- 4sqrt{2})
\[-1+2\sqrt{2}\]
how did you get -1 ???
oops it would be positive 1
right \[\frac{ 2(1 \pm 2\sqrt{2}) }{ 14 }\] and we write the common factor front of the parentheses now simplify
\[\frac{ 1+(2)\sqrt{(2)} }{ 7 }\]
right but it's plus/minus two solution not just one
Okay
Thank you, Nnesha.
np, practice and practice and then finally u will be able to understand this !!
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