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Solving by Squaring
Age 16 to 18
ShortChallenge Level 
Consider the following attempt to solve an equation. The steps have been numbered for reference.
Which one of the following statements is true?
(A) Both −4 and −1 are solutions of the equation.
(B) Neither −4 nor −1 are solutions of the equation.
(C) One solution is correct and the incorrect solution arises as a result of step (1).
(D) One solution is correct and the incorrect solution arises as a result of step (2).
(E) One solution is correct and the incorrect solution arises as a result of step (3).
This question comes from TMUA Specimen paper 2.
The Test of Mathematics for University Admission (or TMUA) is designed to give you the opportunity to demonstrate that you have the essential mathematical thinking and reasoning skills needed for a demanding undergraduate Mathematics or Mathematics-related course. There are several UK universities which encourage their applicants to sit TMUA, and a good performance may result in a reduced offer.
For more information about TMUA visit www.admissionstesting.org.
The Test of Mathematics for University Admission (or TMUA) is designed to give you the opportunity to demonstrate that you have the essential mathematical thinking and reasoning skills needed for a demanding undergraduate Mathematics or Mathematics-related course. There are several UK universities which encourage their applicants to sit TMUA, and a good performance may result in a reduced offer.
For more information about TMUA visit www.admissionstesting.org.