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avatar+8581 

solve the following use the quadratic formula,

 

1x^2 + 12x = 64

 

 

I've tried to do this several times, but for some reason, I cannot do it . :(

 

(Proomise this is my last question for today..!!) 

:)

 Dec 16, 2015
 #1
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Solve for x over the real numbers:
x^2+12 x = 64

Subtract 64 from both sides:
x^2+12 x-64 = 0

x = (-12±sqrt(12^2-4 (-64)))/2 = (-12±sqrt(144+256))/2 = (-12±sqrt(400))/2:
x = (-12+sqrt(400))/2 or x = (-12-sqrt(400))/2

sqrt(400) = sqrt(16×25) = sqrt(2^4×5^2) = 4×5 = 20:
x = (-12+20)/2 or x = (-12-20)/2

(-12+20)/2 = 8/2 = 4:
x = 4 or x = (-12-20)/2

(-12-20)/2 = -32/2 = -16:
Answer: | x = 4       or x = -16
 

 Dec 16, 2015
 #2
avatar+8581 
0

Thank you SO much!!

Now I understand what i did wrong!!

Thank you thank you thank you!

 Dec 16, 2015

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