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anonymous

  • 5 years ago

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

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  1. anonymous
    • 5 years ago
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    solve the second one by factoring and the last one by factoring also the first one you need to solve with quad eq.

  2. anonymous
    • 5 years ago
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    First of all they all need to = 0. The first two should be factoring.. the last one is quadratic formula.

  3. anonymous
    • 5 years ago
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    x^2 - 4x + 3 = 0 Hint (3 * 1 = 3) (3 + 1 = 4)

  4. anonymous
    • 5 years ago
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    1. (x - 3)(x - 1)

  5. anonymous
    • 5 years ago
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    yea hes right i copied in diff order

  6. anonymous
    • 5 years ago
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    x^2 - 7x + 2 = 20 x^2 - 7x - 18 = 0 Factors of 18 that subtract to give you 7 What are they?

  7. anonymous
    • 5 years ago
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    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.

  8. anonymous
    • 5 years ago
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    Confused.. what are the solutions to #1 if (x - 3)(x - 1) = 0

  9. anonymous
    • 5 years ago
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    3 and 1????

  10. anonymous
    • 5 years ago
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    Very good

  11. anonymous
    • 5 years ago
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    Now on the 2nd one... the factors of 18 are 1 * 18 2 * 9 3 * 6 which pair subtracts to give you 7

  12. anonymous
    • 5 years ago
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    2 and 9

  13. anonymous
    • 5 years ago
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    good so you have (x - 9)(x + 2) = 0 what would be your answers for x

  14. anonymous
    • 5 years ago
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    9 and-2

  15. anonymous
    • 5 years ago
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    Very good. Now we need to do the quadratic formula.. do you know what that is? yes/no

  16. anonymous
    • 5 years ago
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    i think so ax^2+bx+c

  17. anonymous
    • 5 years ago
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    well.. you have to get it in this form first.. so we have x^2 - 3x - 1 = 0 what are a? b? c?

  18. anonymous
    • 5 years ago
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    a=1 b=-3 c=-1

  19. anonymous
    • 5 years ago
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    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.

  20. anonymous
    • 5 years ago
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    yes

  21. anonymous
    • 5 years ago
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    -b I like to read as the opposite of b so the opposite of -3 is +3

  22. anonymous
    • 5 years ago
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    x = 3 +- sqrt((-3)^2 - 4(1)(-1) ------------------------ 2(1)

  23. anonymous
    • 5 years ago
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    x = 3 +- sqrt(9 +4) ------------- 2 do you see how I got this? the (-4)(1)(-1) is a + 4

  24. anonymous
    • 5 years ago
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    yes

  25. anonymous
    • 5 years ago
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    OK.. so your answer is x = 3 +- sqrt(13) ----------- 2

  26. anonymous
    • 5 years ago
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    so 4.80 and 1.20

  27. anonymous
    • 5 years ago
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    I don't think so..

  28. anonymous
    • 5 years ago
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    If you are using a calculator put in (3 + sqrt(13))/2 (3 - sqrt(13))/2

  29. anonymous
    • 5 years ago
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    3.307

  30. anonymous
    • 5 years ago
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    -3.027

  31. anonymous
    • 5 years ago
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    Oops.. -.3027

  32. myininaya
    • 5 years ago
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    but those aren't the answers those are approximations since the sqrt(13) is irrational

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