Esmeralda simplified a complex fraction her work is shown below
2 answers:
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Answer:
Step-by-step explanation:
<u>Step 1:</u>
<em>Equation should be:</em>
<u>Step 2:</u>
<em>Equation should be:</em>
<u>Step 3:</u>
- Factoring
- The first term is
. It's coefficient is 3.
- The middle term is +18x, it's coefficient is 18.
- The last term, "the constant", is -13.
<em>Step 1</em>:
- Multiply the coefficient of the first term by the constant 3 * -13 = -39
<em>Step 2:</em>
- Find two factors of -39 whose sum equals the coefficient of the middle term, which is 18 .
- -39 + 1 = -38
- -13 + 3 = -10
- -3 + 13 = 10
- -1 + 39 = 38
- Observation : No two such factors can be found !!
- Conclusion : Trinomial can not be factored
<u>Solution:</u>
- <u />
.
The resulting value of k is 12/7.
<h3>What is a fraction?</h3>Fractions are the numerical values that are a part of the whole. A whole can be an object or a group of objects.
The steps below are presented in order to arrive at the value of k of the given equation.
First, multiply both sides of the equation by the variable k since the left-hand side of the equation has it in the denominator.
The solution of the equation will be;
Hence, the resulting value of k is 12/7.
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