Find all the zeros of the equation -4x^4-44x^2+3600=0

-4x^4 -44x^2 + 3600 = 0
Take out the GCF of 4
- x^4 - 11x^2 + 900 = 0
Factor
(-x^2 + 25 )(x^2 + 36 ) = 0
Set each factor equal to zero and solve.
- x^2 + 25 = 0                           x^2 + 36 = 0
add x^2 to both sides               subtract 36 from both sides
25 = x^2                                   x^2 = - 36
Take sq rt of both sides            Take sq rt of both sides
+ - 5 = x                                    x = + - 6i
Real Zeros                                Imaginary Zeros

so the perpendicular line goes through the given pointyou would get a perpendicular line at some random location

step-by-step explanation:

points a and b are equidistant from the desired line, so the line you find by using them will go through point r.

using points other than a and b will give the desired line only if they are equidistant from r. if they are randomly located, the perpendicular line you create will not necessarily go through point r, hence will not be a solution to the problem.