3.3: Fractional powers and logarithmic simultaneous equations

0606/11/M/J/25 — Question 4 · 9 marks

(a)
Solve the equation x13x16=2x^{\frac{1}{3}} - x^{\frac{1}{6}} = 2.
[4]
(b)
Solve the simultaneous equations
lg(x+2y)=0\lg(x + 2y) = 0x2+4xy+y=1x^{2} + 4xy + y = 1
[5]