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monitta
2 years ago
12

Adding and Subrtracting Fractions.Solve each problem.Write your answer as a mixed number(if possible)

Mathematics
1 answer:
Fudgin [204]2 years ago
4 0
5) 2 3/35
6) 8 5/8
7) 9/40
8) 5 7/10
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Answer: 6+\sqrt{21}\ \text{and}\ 6-\sqrt{21}

Step-by-step explanation:

Given

Quadratic equation is

x^2-12x+15=0

Solving by completing the square method

\Rightarrow x^2-2\cdot 6\cdot x+15=0\\\text{add and subtract 36}\\\Rightarrow x^2-2\cdot 6\cdot x+15+36-36=0\\\Rightarrow x^2-2\cdot 6\cdot x+36+(-36+15)=0\\\text{using}\ (a-b)^2=a^2+b^2-2ab\\\Rightarrow (x-6)^2-21=0\\\Rightarrow (x-6)^2=21\\\Rightarrow x-6=\pm \sqrt{21}\\\Rightarrow x=6\pm \sqrt{21}

The solution set of the equation is 6+\sqrt{21}\ \text{and}\ 6-\sqrt{21}

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3 years ago
340 over 8 as a unit rate
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340/8 = 42.50 per unit
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