The factors of the given equation is (x-5) and (x+1).
Step-by-step explanation:
Given,
y = -[tex]x^{2} +4x+5[/tex]
To find the factors of the given equation.
We will apply middle term factor method.
To find the factor we have to take y = 0
So,
-[tex]x^{2} +4x+5[/tex] = 0
or, [tex]-x^{2} +(5-1)x+5 = 0[/tex]
or, [tex]-x^{2} +5x-x+5 = 0[/tex]
or, -x(x-5)-1(x-5) = 0
or, (x-5)(-x-1) = 0
or, (x-5)(x+1) = 0
Hence,
The factors of the given equation is (x-5) and (x+1).
