Question

Question #6158f

Answer 1

`n=6 or n=4`

Explanation:

• The first step with a quadratic equation is to make it equal to `0`

`n^2 -10n+22 = -2`

`n^2 -10n +24=0`

• The second step is to factorise if possible.

The `+` with `24` tells you that you must find factors of `24` which ADD up to `10`

`6and 4` will work: `6 xx 4 = 24" and "6 +4 =10`

The `+` with `24` also tells you that the signs of the factors must be the same.

The `-` with `10` tells you that the signs will both be `"negative"`

`n^2 -10n +24=0`

`(n-6)(n-4)=0`

• The third step is to set each factor equal to `0` and solve it.

`n-6 =0" "rarr n=6`
`n-4 =0" "rarr n=4`

Answer 2

4, and 6

Explanation:

`f(n) = n^2 - 10n + 24 = 0`
Use the new Transforming Method (Google Search), when a = 1.
Find 2 real roots, that have same sign (ac > 0), knowing the sum (-b = 10) and the product (c = 24). They are 4 and 6.
Answers: 4 and 6.

NOTE. No need to go further in factoring by grouping and solving the 2 binomials.