Additional Mathematics 0606 / Equations, inequalities and graphs / 3.873.87: Exponential equation and integer a,ba,ba,b0606/21/O/N/24 — Question 3 · 10 marksMark as done · Save for later · Show all solutions(a)Solve the equation 81/x−2⋅8−1/x=18^{1/x} - 2\cdot 8^{-1/x} = 181/x−2⋅8−1/x=1.[4]▸ Answer(b)It is given that (a−3)2=b+(3−b)3(a - \sqrt{3})^{2} = b + (3 - b)\sqrt{3}(a−3)2=b+(3−b)3, where aaa and bbb are integers. Find the possible values of aaa and bbb.[6]▸ Answer▸ Official mark scheme← 3.103: Stationary points and sketch of a cubic factorisation3.88: Cubic with given roots →
