Write an equation that has the given solutions.
-$$\frac { 3 } { 4 } , \frac { 3 } { 8 }$$
A) $$x ^ { 2 } - \frac { 9 } { 8 } x + \frac { 9 } { 32 } = 0$$
B) $$x ^ { 2 } + \frac { 9 } { 8 } x + \frac { 9 } { 32 } = 0$$
C) $$x ^ { 2 } + \frac { 9 } { 32 } x + \frac { 9 } { 8 } = 0$$
D) $$x ^ { 2 } - \frac { 9 } { 32 } x + \frac { 9 } { 8 } = 0$$

Question

Quizplus · Accepted Answer

Given solutions are $\frac{3}{4}$ and $\frac{3}{8}$, so the equation can be formed by $(x - \frac{3}{4})(x - \frac{3}{8}) = 0$. Expanding this gives $x^2 - \frac{9}{8}x + \frac{9}{32} = 0$, which matches option A.

Write an Equation That Has the Given Solutions 34,38\frac { 3 } { 4 } , \frac { 3 } { 8 }43​,83​

Write an Equation That Has the Given Solutions $\frac { 3 } { 4 } , \frac { 3 } { 8 }$