kyotsu-test 2010 QCourse2-I-Q1

kyotsu-test · Japan · eju-math__session1 Solving quadratics and applications Counting solutions or configurations satisfying a quadratic system
Q1 Consider the equation
$$(x-1)^2 = |3x-5|.$$
(1) Among all solutions of equation (1), the solutions satisfying $x \geqq \frac{5}{3}$ are $x = \mathbf{A}$ and $x = \mathbf{B}$, where $\mathbf{A} < \mathbf{B}$.
(2) Equation (1) has a total of $\mathbf{C}$ solutions. When the minimum one is denoted by $\alpha$, the integer $m$ satisfying $m-1 < \alpha \leqq m$ is $\mathbf{DE}$. 
Q1 Consider the equation

$$(x-1)^2 = |3x-5|.$$

(1) Among all solutions of equation (1), the solutions satisfying $x \geqq \frac{5}{3}$ are $x = \mathbf{A}$ and $x = \mathbf{B}$, where $\mathbf{A} < \mathbf{B}$.

(2) Equation (1) has a total of $\mathbf{C}$ solutions. When the minimum one is denoted by $\alpha$, the integer $m$ satisfying $m-1 < \alpha \leqq m$ is $\mathbf{DE}$.
Paper Questions
QCourse1-I-Q1 QCourse1-I-Q2 QCourse1-II-Q1 QCourse1-II-Q2 QCourse1-III QCourse1-IV QCourse2-I-Q1 QCourse2-I-Q2 QCourse2-II QCourse2-III QCourse2-IV-Q1 QCourse2-IV-Q2