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2 years ago

4(x-1)-3(x-2)=-8 How do you solve this?

Mathematics

2 answers:

hoa [83]2 years ago

4 0

Answer:

x = -10

Step-by-step explanation:

Remember: PoE = Property of Equality.

Equation: 4(x - 1) - 3(x - 2) = -8

4x - 4 - 3x + 6 = -8 ^ Distributive PoE

1x + 2 = -8 ^ Combine like-terms

x = -10 ^ Subtraction PoE

aleksandrvk [35]2 years ago

3 0

Answer:

-10

Step-by-step explanation:

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Step-by-step explanation:

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P(x)= 3x^3-5x^2-14x-4

nexus9112 [7]

$\displaystyle\\
P(x)=3x^3-5x^2-14x-4\\\\
D_{-4}=\{-4;~-2;~\underline{\bf -1};~1;~2;~4\}\\\\
\text{We observe that } \frac{-1}{3} \text{ is a solution of the equation:}\\
3x^3-5x^2-14x-4=0\\\\
$

$\displaystyle\\
\text{Verification}\\\\
3x^3-5x^2-14x-4=\\\\
=3\times\Big(-\frac{1}{3}\Big)^3-5\times\Big(-\frac{1}{3}\Big)^2-14\times\Big(-\frac{1}{3}\Big)-4=\\\\
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=-\frac{6}{9}+\frac{14}{3}-4=\\\\
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\Longrightarrow~~~P(x)~\vdots~\Big(x+ \frac{1}{3}\Big)\\\\
\Longrightarrow~~~P(x)~\vdots~(3x+1)$

$\displaystyle\\
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x_1 =1+\sqrt{5}\\
x_2 =1-\sqrt{5}\\
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