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15 Dec 2020, 00:09
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D
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Difficulty:
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Question Stats:
86% (01:16) correct
14%
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If f(x)=\(x^2−9\) and g(x)=\(16x−73\), for which of the following values does f(x)=g(x)?
A. -27
B. -8
C. 0
D. 8
E. 27
A. -27
B. -8
C. 0
D. 8
E. 27
15 Dec 2020, 00:23
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Given: If f(x)=\(x^2−9\) and g(x)=\(16x−73\), for which of the following values does f(x)=g(x)?
f(x) = xˆ2 - 9 = g(x) = 16x - 73
xˆ2 - 16x + 64 = 0
(x-8)ˆ2 = 0
x = 8
IMO D
f(x) = xˆ2 - 9 = g(x) = 16x - 73
xˆ2 - 16x + 64 = 0
(x-8)ˆ2 = 0
x = 8
IMO D
11 Dec 2021, 07:45
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Given that f(x)=\(x^2−9\) and g(x)=\(16x−73\) and we need to find for which value of x will f(x) = g(x)
=> f(x)=\(x^2−9\) = g(x)=\(16x−73\)
=> \(x^2−9\) = \(16x−73\)
=> \(x^2 − 16x - 9 + 73\) = 0
=> \(x^2 − 16x + 64\) = 0
=> \(x^2 − 2*8x + 8^2\) = 0
=> \((x-8)^2\) = 0 [ Using \((a-b)^2 = a^2 - 2ab + b^2\)
=> x-8 = 0
=> x = 8
So, Answer will be D
Hope it helps!
Watch the following video to learn the Basics of Functions and Custom Characters
=> f(x)=\(x^2−9\) = g(x)=\(16x−73\)
=> \(x^2−9\) = \(16x−73\)
=> \(x^2 − 16x - 9 + 73\) = 0
=> \(x^2 − 16x + 64\) = 0
=> \(x^2 − 2*8x + 8^2\) = 0
=> \((x-8)^2\) = 0 [ Using \((a-b)^2 = a^2 - 2ab + b^2\)
=> x-8 = 0
=> x = 8
So, Answer will be D
Hope it helps!
Watch the following video to learn the Basics of Functions and Custom Characters
