anonymous
  • anonymous
for these three equations x^2-4x+3=0 x^2-7x+2=20 x^2-3x=1 solve at least one by factoring solve at least one by using the quadratic formula solve the last one with either of the two options
Mathematics
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anonymous
  • anonymous
for these three equations x^2-4x+3=0 x^2-7x+2=20 x^2-3x=1 solve at least one by factoring solve at least one by using the quadratic formula solve the last one with either of the two options
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
solve the second one by factoring and the last one by factoring also the first one you need to solve with quad eq.
anonymous
  • anonymous
First of all they all need to = 0. The first two should be factoring.. the last one is quadratic formula.
anonymous
  • anonymous
x^2 - 4x + 3 = 0 Hint (3 * 1 = 3) (3 + 1 = 4)

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anonymous
  • anonymous
1. (x - 3)(x - 1)
anonymous
  • anonymous
yea hes right i copied in diff order
anonymous
  • anonymous
x^2 - 7x + 2 = 20 x^2 - 7x - 18 = 0 Factors of 18 that subtract to give you 7 What are they?
anonymous
  • anonymous
x^2 - 3x - 1 = 0 the reason you use the quadratic formula is because there are no factors of 1 that subtract to give you 3.
anonymous
  • anonymous
Confused.. what are the solutions to #1 if (x - 3)(x - 1) = 0
anonymous
  • anonymous
3 and 1????
anonymous
  • anonymous
Very good
anonymous
  • anonymous
Now on the 2nd one... the factors of 18 are 1 * 18 2 * 9 3 * 6 which pair subtracts to give you 7
anonymous
  • anonymous
2 and 9
anonymous
  • anonymous
good so you have (x - 9)(x + 2) = 0 what would be your answers for x
anonymous
  • anonymous
9 and-2
anonymous
  • anonymous
Very good. Now we need to do the quadratic formula.. do you know what that is? yes/no
anonymous
  • anonymous
i think so ax^2+bx+c
anonymous
  • anonymous
well.. you have to get it in this form first.. so we have x^2 - 3x - 1 = 0 what are a? b? c?
anonymous
  • anonymous
a=1 b=-3 c=-1
anonymous
  • anonymous
Good. the formula is x = -b +- sqrt(b^2 - 4ac) all over 2a Have you seen this the +- means a + with a - sign under it.
anonymous
  • anonymous
yes
anonymous
  • anonymous
-b I like to read as the opposite of b so the opposite of -3 is +3
anonymous
  • anonymous
x = 3 +- sqrt((-3)^2 - 4(1)(-1) ------------------------ 2(1)
anonymous
  • anonymous
x = 3 +- sqrt(9 +4) ------------- 2 do you see how I got this? the (-4)(1)(-1) is a + 4
anonymous
  • anonymous
yes
anonymous
  • anonymous
OK.. so your answer is x = 3 +- sqrt(13) ----------- 2
anonymous
  • anonymous
so 4.80 and 1.20
anonymous
  • anonymous
I don't think so..
anonymous
  • anonymous
If you are using a calculator put in (3 + sqrt(13))/2 (3 - sqrt(13))/2
anonymous
  • anonymous
3.307
anonymous
  • anonymous
-3.027
anonymous
  • anonymous
Oops.. -.3027
myininaya
  • myininaya
but those aren't the answers those are approximations since the sqrt(13) is irrational

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