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anonymous

  • 5 years ago

x^2-38x+326=0 please factor

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  1. anonymous
    • 5 years ago
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    \[x=19\pm \sqrt{35}\]

  2. anonymous
    • 5 years ago
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    Just apply the quadratic formula

  3. anonymous
    • 5 years ago
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    use the quadratic formula \[x=\frac{-b \pm \sqrt {b^2-4ac}}{2a}, \] which A is the coefficient for the x^2 term B is the coefficient for the x term C is the coefficient for the x^0 term

  4. anonymous
    • 5 years ago
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    Yup, robtotey has the correct answer and Kynosis gives the formula

  5. anonymous
    • 5 years ago
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    Well it looks like I will need to start this from the beginning. This is new to me so I am lost. I have a word problem. It is about a ladder leaning against a bldg. distance from bottom of ladder to bldg is 18' less than the length of the ladder. How high up the side of the bldg is the top of the ladder if that distance is 1' less than the length of the ladder

  6. anonymous
    • 5 years ago
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    Maybe I set it up wrong. I started with \[(x-18)^2+(x-1)^2=x^2\]

  7. anonymous
    • 5 years ago
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    Is this right?

  8. anonymous
    • 5 years ago
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    I agree with you Geminiman

  9. anonymous
    • 5 years ago
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    finding the roots give you the factor of the equation indirectly. because equation are in the quadratic form is (x - n) ( x- n) with n being the root you have a factored equation. of \[( x - 19+√(35)) ( x - 19-√(35))\]

  10. anonymous
    • 5 years ago
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    ok. then I did this formula: \[x^2-36+324+x^2-2x+2=x^2\]

  11. anonymous
    • 5 years ago
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    I get x^2 - 38x + 325 = 0

  12. anonymous
    • 5 years ago
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    ok I got x^2338x+326=0

  13. anonymous
    • 5 years ago
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    Then you get (x - 25)(x - 13) = 0 which is x = 25, 13

  14. anonymous
    • 5 years ago
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    sorry typed it wrong. x^2-38x+326=0

  15. anonymous
    • 5 years ago
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    When you took (x - 1)^2 Gem you had x^2 - 2x + 2 and it is actually x^2 - 2x + 1

  16. anonymous
    • 5 years ago
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    ah ok that is why I got 326 instead of 325.

  17. anonymous
    • 5 years ago
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    Thank you all for your help

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