Question

If the roots of the equation a minus b x squared plus b minus c x + c minus 8 is equal to zero are equal prove

Answer 1

condition for equal roots=b^2-4ac=(b-c)^2-4(a-b)(c-8)=0
                                     0 =b^2+c^2-2bc-4(ac-8a-bc+8b)
                                     0=b^2+c^2-2bc-4ac+32a+4bc-32a
                                     0=b^2+c^2+2bc-4ac
                                     4ac= (b+c)^2
please mark my answer as brainliest.