Question 4 Find the coordinates of the intersection of the diagonals of DEFG with
vertices D(-2-3) (0,4),(-4,3), and G(-6,-4).

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Ответ:

JaredO

26.06.2020

Mathematics

Let x,y be the two numbers. We have two pieces of information:

x-y=2 (the difference between the two numbers is 2)

xy=224 (their product is 224)

From the first equation, we can deduce x=y+2

If we plug this expression in the second equation, we have

$xy = (y+2)y = 224 \iff y^2+2y-224 =0$

If you solve this equation with the usual quadratic formula you get the solutions

$y=-16,\quad y=14$

So, you have the following couple of solutions, recalling that x is 2 more than y:

$\begin{cases} x = -14\\y=-16\end{cases},\quad\begin{cases} x = 16\\y=14\end{cases}$

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Question 4 Find the coordinates of the intersection of the diagonals of DEFG with vertices D(-2-3) (0,4),(-4,3), and G(-6,-4).