Question

What are the factors of m2 – 12m + 20?

m – 14 and m – 6
m – 10 and m – 2
m – 9 and m – 3
m – 5 and m – 4

Answer 1

Answer:

m-10 and m-2

Step-by-step explanation:

m^2 - 12m + 20 = 0

m^2 - 10m - 2m + 20 = 0

m (m-10) - 2(m-10) = 0

(m-10) (m-2) = 0

m=10 m=2

Hope this may help u...!

Answer 2

Given:

A quadratic equation m² - 12m + 20 = 0.

To Find:

The roots of the given equation are?

Solution:

The given problem can be solved using the factorization method.

1. The given equation is m² - 12m + 20 = 0.

2. Factorize the equation,

=> m² - 12m + 20 = 0.

=> m² - 10m -2m + 20 = 0.

=> m(m-10) -2(m-10) = 0,

=> (m - 2)(m - 10) = 0,

=> m = 2 (OR) m = 10.

3. Roots of the equation are 2 and 10.

Therefore, the roots of the equation m² - 12m + 20 = 0 are m = 2 and m = 10. Option B is the correct answer.