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OpenStudy (anonymous):
the equation formed by decreasing each root of ax^2 + bx + c = 0 by 1 is 2x^2 + 8x + 2 = 0. Then
a. c=-a
b. b=-c
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OpenStudy (anonymous):
roots of this are
\[-2\pm\sqrt{3}\] so roots of original equation are
\[-1\pm\sqrt{3}\]
OpenStudy (anonymous):
1) Find roots of 2x^2 + 8x + 2 = 0
2) Define a function that has the same roots, only this time increased by one
3) Check which statement is true.
OpenStudy (anonymous):
i dint get both ...got something else!!
OpenStudy (anonymous):
multiply
\[(x-(-1+\sqrt{3}))(x-(-1-\sqrt{3}))\] to get original equation
OpenStudy (anonymous):
which is actually a lot easier than it looks
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OpenStudy (anonymous):
"first"
\[xx=x^2\]
"last"
\[(-1+\sqrt{3})(-1-\sqrt{3})=1-3=-2\]
OpenStudy (anonymous):
x^2 -2x√3+2x+4 ??
OpenStudy (anonymous):
and "outer, inner" is
\[(1+\sqrt{x})x+(1-\sqrt{3})x=2x\]
OpenStudy (anonymous):
to give
\[x^2-2x+2=0\]
OpenStudy (anonymous):
i looks hard at first glance but it is easy to multiply this out. check what i wrote
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OpenStudy (anonymous):
thanks a lot... :)
OpenStudy (anonymous):
yw
OpenStudy (anonymous):
is the answer b ?
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