Math, asked by jharna, 1 year ago

construct quadratic equation,if the sum &product of the roots are 3&-2

Answers

Answered by bala001
1
let α be 3 and β be -2.
sum=α+β=1
product=αβ=-6
Q.E=[x²-(sum)x+x]
      =[x²-1x+(-6)
      =x²-x-6

yasummu: Question:   x^2 - 13x + 30 = 0       x^2 - 13x + 30 = 0;      x^2 - 3x - 10x + 30 = 0;  x(x - 3) - 10(x - 3) = 0 ;      (x - 3)(x-10) = 0;     (x - 3) =0    or  (x-10 ) = 0;     x = 3   or  x =10.
jharna: thnxx more 2 questions are der
yasummu: This is not a place to answer all the answer but still
jharna: sorry dear
jharna: but i really need dis answers for board
jharna: and i dnt hvae much pts to ask dis many questions
yasummu: Question: 4x^2 - 16 + 15 = 0        4x^2/4 - 16x/4 + 15/4 = 0 ;    x^2 - 4x + 15/4 = 0;   x^2 - 2x(2) + (2)^2 - (2)^2 + 15/4 = 0;    (x-2)^2 - 4 + 15/4 = 0;    (x-2)^2 -(16+15)/4 = 0;    (x-2)^2 -1/4 = 0;     (x-2)^2 = 1/4;   (x-2) = +or- under root of 1/4,     (x-2) = +or- 1/2;   x= 2 + 1/2   or   x = 2 - 1/2
yasummu: i do not know the last one now sorry
jharna: thank you u helped me 
jharna: u r really genuis
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