SOLUTION: I am having a difficult time with Quadratic coefficients like: trying to find x1_____ and x2_______ x2 = 1.5x + 0.5 a=__________ b=___________ __ c=___________ __ x2

Algebra ->  Radicals -> SOLUTION: I am having a difficult time with Quadratic coefficients like: trying to find x1_____ and x2_______ x2 = 1.5x + 0.5 a=__________ b=___________ __ c=___________ __ x2       Log On


   



Question 148770: I am having a difficult time with Quadratic coefficients like:
trying to find x1_____ and x2_______
x2 = 1.5x + 0.5
a=__________ b=______________ c=______________

x2 = 4.41x
a=_______________ b=_______________ c=____________
I have six problems like this, I just can't wrap my brain around this.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
find x1_____ and x2_______
x^2 = 1.5x + 0.5
x^2 - (3/2)x - (1/2) = 0
Multiply thru by 2 to get:
2x^2 -3x + 1 = 0
Factor:
(2x-1)(x-1) = 0
x = 1/2 or x = 1
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The original values of a,b, and c are
a=___1_______ b=__-1.5____________ c=___-1/2___________
-----------------------------------------------------------------------
x^2 = 4.41x
x^2-4.41x = 0
x(x-4.41) = 0
x = 0 or x = 4.41
------------------------
a=___1____________ b=____-4.41___________ c=___0_________
============================
Cheers,
Stan H.