Question:

Quadratic Formula problems - please help?

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1) x^2 + 5x - 1 = 0

2) x^2 + 10x = 9 [Turn into a ( = 0 ) equation]

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4 ANSWERS


  1. Remember that A^2 + Bx + C = 0.

    In the first equation, A = 1, B = 5, and C = -1.  

    Simply plug these values into the quadratic formula (see my source below).

    For the second equation, subtract 9 from both sides to put it into A^2 + Bx + C = 0 format.  So, x^2 + 10x - 9 = 0.

    A = 1, B = 10, and C = -9.

    Now you have all of the tools!  Good luck.  :-)


  2. A^2 + B +C

    ___ + ___ (change sign after equation) = AC

                    (             therefore            )

    x = -___

    and

    x = -___

  3. The Quadratic Equation

    ax^2 + bx + c = 0

    The Quadratic Formula

    x = {-b +- sqrt( b^2 - 4ac)} devide by 2a

    where:

    1) a = 1,  b = 5, c = -1

        

         Ans:

        (+)x = 0.19

        (-)x = -5.19

    2) x^2 + 10x - 9 = 0

        

         a = 1,  b = 10, c = -9

         Ans:

        (+)x = 0.83

        (-)x =  -10.83

  4. ax²+bx+c=0

    use the quadratic formula

    x= -b±√b²-4ac / 2a

    in the 1st equation

    1) x^2 + 5x - 1 = 0

    a=1 b=5 c=-1

    apply the formula and substitute the values

    x= -5±√5²-4(1)(-1) / 2(1)

    x= 5±√25+4 / 2

    x= 5±√29 / 2

    answer is 5 plus or minus the square root of 29 all over 2

    2) x^2 + 10x = 9 [Turn into a ( = 0 ) equation]

    first change it to zero equation

    so.... x²+10x-9=0

    a= 1  b= 10 c= -9

    then apply the formula

    x= -b±√b²-4ac / 2a

    x= -10±√10²-4(1)(-9) / 2(1)

    x= -10±√100+36 / 2

    x= -10±√136 / 2

    x= -5±√136

    simplify: √136 =  Ã¢ÂˆÂš(4)(34) =2√34

    x= -5±√(4)(34)

    x=-5±2√34



    the answer is -5 plus or minus 2 square root of 34

    HOPE its helps....

    gudluck... :P

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