Let a and b be the solutions of the equation 2x^2+6x-14=x^2-8x+2. What is the value of (2a-3)(4b-6)?
This was literally posted yesterday.
https://web2.0calc.com/questions/help-please_74857#r4
Find BuilderBoi's answer. And, I think CPhill will give you one also!
Rearrange as
x^2 + 14x - 16 = 0
Sum of roots = a + b = -14
Product of roots = ab = -16
(2a - 3) ( 4b - 6) =
12ab - 12a - 12b + 18 =
12ab -12 (a + b) + 18 =
12 (-16) - 12 (-14) + 18 =
-192 + 168 + 18 =
-6
