(5b² x 4b²) : 10b⁴<span> - 2b

= 20b</span>⁴ : 2b(5b³ - 1)

= 10b³ : 5b³ -1 // Divide by 2b through

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Answer: 10b³ : 5b³ -1
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5 0

3 years ago

Part 1

Ann [662]

Answer:

Part 1. $\dfrac{x+1}{2x}=\dfrac{x^2-7x+10}{4x}.$

Part 2. Solutions: $x_1=1,\ x_2=8.$

Extraneous solution: $x=0.$

Step-by-step explanation:

Part 1. You are given the equation

$\dfrac{1}{2}+\dfrac{1}{2x}=\dfrac{x^2-7x+10}{4x}.$

Note that

$\dfrac{1}{2}+\dfrac{1}{2x}=\dfrac{x+1}{2x},$

then the equation rewritten as proportion is

$\dfrac{x+1}{2x}=\dfrac{x^2-7x+10}{4x}.$

Part 2. Solve this equation using the main property of proportion:

$4x\cdot (x+1)=2x\cdot (x^2-7x+10),\\ \\2x(2x+2-x^2+7x-10)=0,\\ \\2x(-x^2+9x-8)=0.$

x cannot be equal 0 (it is placed in the denominator of the initial equation and denominator cannot be 0), so $x=0$ is extraneous solution to the equation.