题目
H Algebra 2 HA2 4.7/4.8 Quiz
多项选择题
Solve. 3 𝑥 4 = 3 𝑥 ( 56 𝑥 − 𝑥 2 ) Select ALL numbers which are solutions to this equation.
选项
A.-10
B.-9
C.-8
D.-7
E.-6
F.-5
G.-4
H.-3
I.-2
J.-1
K.0
L.1
M.2
N.3
O.4
P.5
Q.6
R.7
S.8
T.9
U.10
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标准答案
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思路分析
Question restatement: Solve the equation 3x^4 = 3x(56x − x^2) and select ALL numbers that are solutions from the given options.
Option analysis:
-8: To test or to reason directly, bring all terms to one side: 3x^4 − 3x(56x − x^2) = 0. This simplifies to 3x^4 − 168x^2 + 3x^3 = 0, which factors as 3x^2(x^2 + x − 56) = 0. Further factoring the quadratic gives 3x^2(x + 8)(x − 7) = 0. Therefore x = 0 (double root), x = −8, or x = ......Login to view full explanation登录即可查看完整答案
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