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Let a and b be the solutions to 7x^2 + x - 5 = -3x^2 - 9x - 4. Compute (a - 4)/(b - 4) + (b - 4)/(a - 4).

 May 20, 2024
 #1
avatar+115 
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add -3x^2 to both sides 

add 9x to both sides 

add 4 to both sides

 

10x^2+10x-1 = 0 

we can plug into the quadratic formula : 

 

- we will get (-5+sqrt 35) / 10.  or (-5-sqrt 35) / 10

then you can plug these value into the other expression we can get 412 / 199

 

i think you should work on getting to know the quadratice equation more + simplfying equations in general

 May 20, 2024

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