Write an equation that has the given solutions.
--6, 9
A) $$x ^ { 2 } + 54 x + 3 = 0$$
B) $$x ^ { 2 } - 3 x - 54 = 0$$
C) $$x ^ { 2 } - 54 x + 3 = 0$$
D) $$x ^ { 2 } + 3 x - 54 = 0$$

Question

Quizplus · Accepted Answer

The correct equation is formed by using the sum and product of the roots in the form $x^2 - (sum \ of \ roots)x + (product \ of \ roots) = 0$. Here, the sum of the roots is $-6 + 9 = 3$ and the product is $-6 \times 9 = -54$, leading to the equation $x^2 - 3x - 54 = 0$.

Write an Equation That Has the Given Solutions x2+54x+3=0x ^ { 2 } + 54 x + 3 = 0x2+54x+3=0

Write an Equation That Has the Given Solutions $x ^ { 2 } + 54 x + 3 = 0$