Write a quadratic equation having the given solutions.
-$\frac { 1 } { 2 } , \frac { 3 } { 4 }$
A) $8 x ^ { 2 } - 10 x + 3 = 0$
B) $8 x ^ { 2 } + 10 x + 3 = 0$
C) $8 x ^ { 2 } + 3 x + 10 = 0$
D) $8 x ^ { 2 } - 3 x + 10 = 0$

Question

Quizplus · Accepted Answer

Given the roots $\frac { 1 } { 2 }$ and $\frac { 3 } { 4 }$, the quadratic equation can be formed by $(x - \frac { 1 } { 2 })(x - \frac { 3 } { 4 }) = 0$. Expanding this gives $x^2 - \frac { 5 } { 4 }x + \frac { 3 } { 8 } = 0$. Multiplying through by 8 to clear the denominators gives $8x^2 - 10x + 3 = 0$.

Write a Quadratic Equation Having the Given Solutions 12,34\frac { 1 } { 2 } , \frac { 3 } { 4 }21​,43​

Write a Quadratic Equation Having the Given Solutions $\frac { 1 } { 2 } , \frac { 3 } { 4 }$