Answer:
see explanation
Explanation:
the best equation is when expressed in factored form
x² - 7x + 10 = - 2 ( add 2 to both sides )
x² - 7x + 12 = 0 ← in standard form
consider the factors of the constant term (+ 12) which sum to give the coefficient of the x- term (- 7)
the factors are - 3 and - 4 , since
- 3 × - 4 = + 12 and - 3 - 4 = - 7 , then
(x - 3)(x - 4) = 0 ← in factored form
equate each factor to zero and solve for x
x - 3 = 0 ( add 3 to both sides )
x = 3
and
x - 4 = 0 ( add 4 to both sides )
x = 4
solutions to the equation are x = 3 , x = 4