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secondary 3 | A Maths
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How to linearise?
Date Posted: 3 years ago
Views: 212
y = a2 x2 - 2 a b x + b2
y = (a x - b)^2
plotting y against (ax-b)^2 gives a straight line,
but does not help to give a nor b
need to take square root on both sides
either sqrt(y) = a x - b OR sqrt(y) = -(ax - b)
which is correct depends on actual values of y & x.
if use sqrt(y) = a x - b,
compare with Y = mX + c.
plot sqrt(y) against x,
then, gradient m gives a,
and y-intercept c gives -b
y = (a x - b)^2
plotting y against (ax-b)^2 gives a straight line,
but does not help to give a nor b
need to take square root on both sides
either sqrt(y) = a x - b OR sqrt(y) = -(ax - b)
which is correct depends on actual values of y & x.
if use sqrt(y) = a x - b,
compare with Y = mX + c.
plot sqrt(y) against x,
then, gradient m gives a,
and y-intercept c gives -b
Thank you so much!
See 1 Answer
done
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Completing the square!
Date Posted:
3 years ago
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