Asked by kozy
Given the quadratic function f(x) = 16x2 – 64x + 64, find a value of x such that f(x) = 16.
Answers
Answered by
MathMate
f(x) = 16x2 – 64x + 64
for f(x)=16, write:
16=16x² - 64x +64
transpose 16 to the right, and factor out numeric factor 16:
16(x² -4x +3) = 0
Factor expression
16(x-3)(x-1)=0
This means that x=3 or x=1, either one of which satisfies the equation
f(x)=16.
Check by substituting x=3 or x=1 in f(x).
for f(x)=16, write:
16=16x² - 64x +64
transpose 16 to the right, and factor out numeric factor 16:
16(x² -4x +3) = 0
Factor expression
16(x-3)(x-1)=0
This means that x=3 or x=1, either one of which satisfies the equation
f(x)=16.
Check by substituting x=3 or x=1 in f(x).
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.