Question

How do I factor the equation?
y= -x^2 + 4x + 5

Answer 1

The factors of the given equation is (x-5) and (x+1).

Explanation:

Given,

y = -
`x^(2) +4x+5`

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,

-
`x^(2) +4x+5` = 0

or,
`-x^(2) +(5-1)x+5 = 0`

or,
`-x^(2) +5x-x+5 = 0`

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).