The roots of this equation equation are:
x1 = 4
x2 = 8
This sentence given in the statement of this question is: Equation of the Second Degree. There are a few ways to solve it, but let's calculate by the factorization method.
Equation given: x² - 12x + 36 = 4
- First, let's multiply the 12 and 36 term into factors (factoring):
x² - 12x + 36 = 4
12x ➯ 2x . x6
36 ➯ 6²
x² - 2x . x6 + 6²
( x - 6 )² = 4
- Now we remove the parentheses and we will transform the exponent 2 into the square root of its original number:
( x - 6 )² = 4
x - 6 = ±√4
x - 6 = ±2
- We will organize the equation in two forms, being: positive and negative:
x - 6 = ±2
x - 6 = -2
x - 6 = +2
- Finally, let's calculate the first degree equation:
x - 6 = -2
x = -2 + 6
x = 4
x - 6 = +2
x = 2 + 6
x = 8
Therefore, the correct results of this equation, will be:
x1 = 4
x2 = 8