+0

# HALPP

0
70
2

Find all the solutions to

$\frac{x+4}{x+5} = \frac{x-5}{2x}$

May 3, 2022

#1
0

By the quadratic formula, the solutions are x = -2 - 4i and x = -2 + 4i.

May 3, 2022
#2
+2440
+1

We begin by cross-multiplying: $$2x(x+4) = (x-5)(x+5)$$

We can expand both sides to get: $$2x^2+8x=x^2-25$$

We can move everything to the left-hand side, which gives us: $$x^2+8x+25=0$$

We now have to solve for x using the quadratic formula.

Can you do it?