# How do you solve #x^2 - 3x - 23 = 5#?

##### 1 Answer

Aug 7, 2015

Solve

Ans: -4 and 7

#### Explanation:

Find 2 numbers p and q, knowing sum (-b = 3) and product (c = -28).

p and q have opposite signs. (Rule of sign).

Factor pairs of (-28) --> (-2, 14)(-4, 7). This sum is 3 = -b.

Then, the 2 real roots are :