csat-suneung 2009 Q3

csat-suneung · South-Korea · csat__math-science 3 marks Solving quadratics and applications Solving an equation via substitution to reduce to quadratic form
What is the sum of all real roots of the equation $\sqrt { x ^ { 2 } - 2 x + 1 } - \sqrt { x ^ { 2 } - 2 x } = \frac { 1 } { 2 }$? [3 points]
(1) 5
(2) 4
(3) 3
(4) 2
(5) 1
What is the sum of all real roots of the equation $\sqrt { x ^ { 2 } - 2 x + 1 } - \sqrt { x ^ { 2 } - 2 x } = \frac { 1 } { 2 }$? [3 points]\\
(1) 5\\
(2) 4\\
(3) 3\\
(4) 2\\
(5) 1