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The quadratic equation $x^2-5x+5=-4x+7$ has two roots. Find the absolute difference of these roots.

 Aug 24, 2023
 #1
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x^2-5x+5 = -4x+7   rearramge as

 

x^2 - x - 2  =  0        factor as

 

(x - 2) ( x +1) =  0

 

The roots   are  2 and  -1

 

Absolute  value difference  of these  roots =  abs ( 2 - - 1)  = abs (3)  =  3

 

 

cool cool cool

 Aug 25, 2023

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