examday

tmua.me papers

tmua.me Medium Set A Paper 1 · Q11

Paper 1Algebra

Nonzero real numbers xx, yy and zz satisfy

x+y+z=0,x2+y2+z2=14,x3+y3+z3=−18.x+y+z=0,\qquad x^2+y^2+z^2=14,\qquad x^3+y^3+z^3=-18.

What is the value of

1x+1y+1z ?\frac1x+\frac1y+\frac1z\,?
A76\dfrac76
B−76-\dfrac76
C73\dfrac73
D−73-\dfrac73
E67\dfrac67
F−67-\dfrac67

Read the questions freely. Sign in to check your answer, see the worked solution and save your progress.

Sign in to check your answerPractise the whole paper →