# How do you solve #x^2 - 13x = -42#?

##### 1 Answer

Dec 2, 2015

#### Answer:

Solve y = x^2 - 13x + 42 = 0

Ans: 6 and 7

#### Explanation:

Find 2 numbers (real roots) knowing sum (-b = 13) and product (42).

Factor pairs of (42) --> (3, 14)(6, 7). This sum (6 + 7 = 13 = -b). Therefor, the 2 real roots are: 6 and 7.

NOTE. Solving by the new Transforming Method (Socratic Search) is simple and fast. No factoring by grouping, no solving binomials.