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daser333 [38]
3 years ago
6

Find the factors from the roots, then multiply the factors together. y=x3−3.5x2+3.5x−1

Mathematics
1 answer:
neonofarm [45]3 years ago
8 0

Answer:

hello :

y=x3−3.5x²+3.5x−1

y = (x3 - 1 ) - 3.5 ( x² - 1)

y= (x -1 ) ( x² + x + 1 ) + 3.5 ( x - 1 ) (x + 1)

y = ( x - 1 ) ( x² + x + 1 + 3.5x -3.5)

y = (x - 1 ) ( x² + 4.5x  - 2.5)

the dicriminent of  x² + 4.5x  - 2.5  is : Δ = (4.5)²- 4(1)(- 2.5) = 30.25 = (5.5)²

x1 = ( - 4.5  -  5.5)/2         x2 =  ( - 4.5  + 5.5)/2

x1 = - 5    x2 = 1/2 = 0.5

y = (x - 1 )( x +5) (x - 0.5)

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Event 2
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What is the solution to sqrt 17-x=x+3? Show your work.
snow_lady [41]

Answer:

x=1

Step-by-step explanation:

Remember:

(\sqrt[n]{a})^n=a\\\\(a+b)=a^2+2ab+b^2

Given the equation \sqrt{17-x}=x+3, you need to solve for the variable "x" to find its value.

You need to square both sides of the equation:

(\sqrt{17-x})^2=(x+3)^2

17-x=(x+3)^2

Simplifying, you get:

17-x=x^2+2(x)(3)+3^2\\\\17-x=x^2+6x+9\\\\x^2+6x+9+x-17=0\\\\x^2+7x-8=0

Factor the quadratic equation. Find two numbers whose sum be 7 and whose product be -8. These are: -1 and 8:

(x-1)(x+8)=0

Then:

x_1=1\\x_2=-8

Let's check if the first solution is correct:

\sqrt{17-(1)}=(1)+3

4=4 (It checks)

Let's check if the second solution is correct:

\sqrt{17-(-8)}=(-8)+3

5\neq-5 (It does not checks)

Therefore, the solution is:

x=1

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Solve for b:

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