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Math Help - qaudractics and partail fractions

  1. #1
    Junior Member
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    qaudractics and partail fractions

    1) solve the qaudractic eqaution 2x^2 +bx +3=0

    2) describe using algebra and words how the nature/ number of roots of the eqaution of Q1 change as b varies, clearly identifying the ranges of the values of b which lead to different types of roots

    3) pick a value of b which leads to complex roots and solve 2x^2 + bx +3=0 to confirm this


    4) Do the partail fractions questions, it would help me understand if u could do one using the cover up rule, one using substitution method, one using comparing the coeffiecient

    a) x-2/((2x+5)(x-6)

    b) x^2 -2/((2x+5)(x-6))

    c) (x-2)^2/((2x+5)^2(x-6)

    d) (x-2)^2/(((2x+5)(x-6)(x+1)))
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  2. #2
    Senior Member
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    Re: qaudractics and partail fractions

    ax^2+bx+c=0 has real distinct root if b^2-4ac>0 repeated roots if it =0 and complex roots if ir is <0
    For example in your question a=2 b=b and c=3 so for feal distinct roots we want b^2-24>0 b^2>24 so want b<-root24 or b>root24
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