Solve by completing the square. .05x^2-x+1=y
No. There is no completing the square method there.
steps (0.05 x-1.) x+1 = y (0.223607 x-4.23607) (0.223607 x-0.236068) = y 0.05 x^2-x-y+1 = 0
u can ask someone else for me also not getting
Okay.
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Okay, thanks.
divide everything by 0.5 first
you can complete the square, first multiply by 2
the coefficient of x^2 needs to be 1 only so you need to divide by 0.5 or in other words...multiply by 2 :|
in order to complete the square, the first step is to make sure the leading coefficient is 1
what @lgbasallote is saying
on the other hand, now that i look at the question, it reads \[.05x^2-x+1=y\] not \[.05x^2-x+1=0\] so it is not clear what "solving" means in this context
and on further reading, i see that it is \(.05\) and not \(.5\) so you would need to multiply by 20 not 2
that is if you wanted so solve \[.05x^2-x+1=0\] for \(x\) by completing the square, the first step would be multiply by 20 to make the leading coefficient 1 and write \[x^2-20x+20=0\] then \[x^2-20x=-20\] \[(x-10)^2=-20+100=80\] \[x-10=\pm\sqrt{80}=\pm4\sqrt{5}\] \[x=10\pm4\sqrt{5}\]
x= any - number, y=0.05x^2-x+1
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