<prompt> Acha x iwe nambari halisi kama hiyox2 4 kushoto fracxx - 2 kulia2 45.Tafuta thamani zote zinazowezekana za y fracx - 22 x 32x - 3. Weka thamani zote zinazowezekana, zikitenganishwa na koma.  <response>: Kutoka kwa equation iliyotolewa,x2 kushoto frac2xx - 2 kulia2 - 45 0.Hebu a x na b frac2xx - 2 . Kisha a2 b2 45, aua b2 - 2ab - 45 0.Kwa maneno mengine,kushoto x frac2xx - 2 kulia2 - frac4x2x - 2 - 45 0.Tunaweza kuandika hili kamakushoto fracx2x - 2 kulia2 - frac4x2x - 2 - 45 0.Hebu y fracx 2x - 2. Kisha y2 - 4y - 45 0, ambayo ni y - 9y 5 0. Kwa hivyo,kushoto fracx2x - 2 - 9 kulia kushoto fracx2x - 2 5 kulia 0.Kisha x2 - 9x 18x2 5x - 10 0, ambayo huchangia kamax - 3x - 6x2 5x - 10 0.Kama x 3, basifracx - 22 x 32x - 3 2.Kama x 6, basifracx - 22 x 32x - 3 16.Kama x2 5x - 10 0, basi x2 -5x 10, nax3 x-5x 10 -5x2 10x -5-5x 10 10x 35x - 50.Kwa hiyo,anzaalignfracx3 - x2 - 8x 122x - 3 frac35x - 50 - -5x 10 - 8x 122x - 3 frac32x - 482x - 3 16.endalignKwa hivyo, thamani zinazowezekana za fracx - 22 x 32x - 3 ni 2,16. 