Additional Mathematics 0606 / Simultaneous equations and quadratics / 3.33.3: Fractional powers and logarithmic simultaneous equations0606/11/M/J/25 — Question 4 · 9 marksMark as done · Save for later · Show all solutions(a)Solve the equation x13−x16=2x^{\frac{1}{3}} - x^{\frac{1}{6}} = 2x31−x61=2.[4]▸ Answer(b)Solve the simultaneous equationslg(x+2y)=0\lg(x + 2y) = 0lg(x+2y)=0x2+4xy+y=1x^{2} + 4xy + y = 1x2+4xy+y=1[5]▸ Answer▸ Official mark scheme3.17: Index equation reducing to y=3xy = 3xy=3x →