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3 years ago

Please help! Three step linear equations

Mathematics

1 answer:

zzz [600]3 years ago

6 0

Answer:

I solved it and my answer is - 2

Step-by-step explanation:

5x+6=8x+12

5x-8x =12 - 6

-3x =6

Divide by - 3

X=-2

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The correct answer is:

3 inches.

Explanation:

We will use the Rational Roots Theorem to solve this.

First we can divide both sides of the equation by 4 in order to simplify it:

$\frac{4x^3-72x^2+320x}{4}=\frac{420}[4} \\ \\x^3-18x^2+80=105$

In order to solve this, we want the polynomial set equal to 0. To do this, subtract 105 from both sides:

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Using synthetic division, we try 1 in the box:

1 | 1 -18 80 -105

_______ 1__ -17___63__

1 -17 63 -42

Since there is a remainder, this is not a root. Trying -1,

-1 | 1 -18 80 -105

_______-1__ 19 _-99_

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3 | 1 -18 80 -105

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Since there is no remainder, 3 is a root, and is the answer we are looking for.

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