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1964 AMC 12 Question 8

AMC12 · 1964 AMC 12

Question 8

The smaller root of the equation

$$
\begin{aligned} &\left(x-\frac34\right)\left(x-\frac34\right)\\ &\quad+\left(x-\frac34\right) \left(x-\frac12\right)=0 \end{aligned}
$$

is:
  1. $-\dfrac34$
  2. $\dfrac12$
  3. $\dfrac58$
  4. $\dfrac34$
  5. $1$