This question is from quadratic equation chapter in which we have given an equation x²=18x-77 and it is asked to solve the given equation in a detailed manner
RS Aggarwal, Class 10, chapter 4A, question no 12
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x²−18x+77=0
x²−7x−11x+77=0
x(x−7)−11(x−7)=0
(x−11)(x−7)=
either (x−11)=0 or (x−7)=0
x=11 or 7