If two graphs Y px2 q and y 2x2 1 intersect at ... - JAMB Mathematics 2017 Question
If two graphs Y = px2 + q and y = 2x2 − 1 intersect at x =2, find the value of p in terms of q
A
q − \(\frac{8}{7}\)
B
7 − \(\frac{q}{4}\)
C
8 − \(\frac{q}{2}\)
D
7 + \(\frac{q}{8}\)
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Correct Option: B
Y = Px2 + q
Y = 2x2 - 1
Px2 + q = 2x2 - 1
Px2 = 2x2 - 1 - q
p = (\frac{2x^2 - 1 - q}{x^2})
at x = 2
P = (\frac{2(2)^2 - 1 - q}{2^2})
= (\frac{2(4) - 1 -q}{4})
= (\frac{8 - 1 - q}{4})
P = (\frac{7 - q}{4})
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