Question

Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and their coefficients:
i) 8t^2+2t-15. ii) 4 root 3x^2+5x-2 root 3

Answer 1

Answer:

1)8t^2+2t-15=0

  8t^2+12t-10t-15=0

  4t(2t+3)-5(2t+3)=0

  2t+3=0,4t-5=0

  2t=-3,4t=5

  t=-3/2,5/4

α+ß=(-3/2)+5/4=(-6+5)/4=-1/4=-co-efficient of x/co-efficient of x^2

α*ß=(-3/2)*(5/4)=-15/8=constant=co-efficient of x^2

2)4√3 x² +5x -2√3 =0

  4√3 x² +8x -3x -2√3=0

  4x(√3 x+2) -√3(√3x +2) =0

   (√3x +2)(4x -√3) =0

   (√3x +2) =0 or (4x-√3) =0

    x = -2/√3 or √3/4

α+ß=(-2/√3)+(√3/4)=(-8+3)/4√3=-5/4√3=-co-efficient of x/co-efficient of x^2

α*ß=(-2/√3)(√3/4)=-2√3/4√3=constant/co-efficient of x^2

Step-by-step explanation:

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Answer 2

Answer:

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