Pls tell question no 12,13,24,25,26,27,28

Q.12 If α   and   β are the zeroes Of the polynomial  p x = x 2 - a x + 1 - b   such   that   α + 1 β + 1 = 0  then find value Of b. .

Q   13 .   If   α   &   β   are   the   zeros   of   the   poynomial   x 2 - k + 6 x + 2 2 k - 1 .   Find   k   if   α + β = 1 / 2 αβ
Q. 14. If (x+p) is a factor of the polynomial 2x2+2px+5x+10 find p

Dear student
27.  Let the first number =xSo, second number is =18-xReciprocal of first number=1xand reciprocal ofsecond  number=118-xA.T.Q1x+118-x=1418-x+xx18-x=1418=14x18-x18=252x-14x214x2-252x+18=07x2-126x+9=0x=--126±-1262-47927  Using quadratic formulax=321±4347
So other number is 18-321±4347=126-321±4347=126-63±34347
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