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mustachbrah
25.10.2020 •
Mathematics
ASAP 100 POINTS
ENTER THE VALUE OF X. PHOTO attached
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Ответ:
x=3
Step-by-step explanation:
f(x) = x^3 -3x^2 +2
g(x) = x^2 -6x +11
Set them equal to each other
x^3 -3x^2 +2 = x^2 -6x +11
Subtract x^2 from each side
x^3 -3x^2 +2 = x^2 -6x +11
x^3 -3x^2-x^2 +2 = x^2-x^2 -6x +11
x^3 -4x^2 +2 = -6x +11
Add 6x to each side
x^3 -4x^2+6x +2 = -6x+6x +11
x^3 -4x^2+6x +2 = 11
Subtract 11
x^3 -4x^2+6x +2-11 = 11-11
x^3 -4x^2+6x -9 = 0
Factor
(x-3)(x^2-x+3)=0
Using the zero product property
x-3 =0 x^2 -x+3 =0
x=3 x^2 -x+3 =0
This will give a complex solution
Ответ:
Step-by-step explanation:
given:
f(x) = g(x)
f(x) = x³ - 3x² + 2
g(x) = x² - 6x + 11
find: the value of x
solution:
as given f(x) = g(x)equate each side x³ - 3x² + 2 = x² - 6x + 11combine similar terms and equate to zero: x³ - 4x² + 6x - 9 = 0solve by factoring: (x - 3) (x² - x + 3)use the Zero factor principle: x - 3 = 0x = 3for x² - x + 3 = 0 this is a complex solution.therefore, the value of x = 3
Ответ:
Answer;
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