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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)?

 Jul 20, 2022
 #1
avatar+1118 
+7

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!

 Jul 20, 2022
 #2
avatar+124524 
+2

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

 

 

cool cool cool

 Jul 20, 2022

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