If α and β are the roots of 2x^2+x+3 = 0, find the quadratic equation whose roots are (α -1) and (β-1)

1 thought on “If α and β are the roots of 2x^2+x+3 = 0, find the quadratic equation whose roots are (α -1) and (β-1)”

1. Answer:

   thx for answering , mark brainliest

   Step-by-step explanation:

   please i cant type alpha and beta , so denoting them with p and q respt.

   for this quad eqn. a=2 , b=1 , c=3 (for an eqn in form of ax^2 +bx + c)

   p+q=-b/a = -1/2

   pq=c/a = 3/2

   now we need eqn. whose roots are x-1 and y-1

   we can write it as

   x^2 – (p+q-1-1)x + (p-1)(q-1)

   x^2 + (-1/2 – 2)x + pq – p – q +1

   x^2 + (-5/2)x + 3/2 -1(-1/2) +1

   x^2 -5/2x + 3/2+1/2 +1

   x^2 -5/2x + 6/2

   x^2-5/2x + 3

   = 2(x^2/2 – 5/2 + 3/2)

   hope it helps

   mark brainliest

   thanks

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