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2 years ago

Factorise x² - x with explanation please?

Mathematics

1 answer:

Assoli18 [71]2 years ago

3 0

Answer:

x(x + 1)

Step-by-step explanation: This is an important way of solving quadratic equations. The first step of factorising an expression is to 'take out' any common factors which the terms have. So if you were asked to factorise x² + x, since x goes into both terms, you would write x(x + 1)

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8/x-5 - 9/x-4 = 5/x^2-9x+20

adelina 88 [10]

If you're using the app, try seeing this answer through your browser: brainly.com/question/2752942

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Solve the equation:

$\mathsf{\dfrac{8}{x-5}-\dfrac{9}{x-4}=\dfrac{5}{x^2-9x+20}\qquad\qquad(x\ne 5~and~x\ne 4)}$

Reduce the fractions at the left side so that they have the same denominator:

$\mathsf{\dfrac{8(x-4)}{(x-5)(x-4)}-\dfrac{9(x-5)}{(x-4)(x-5)}=\dfrac{5}{x^2-9x+20}}\\\\\\
\mathsf{\dfrac{8x-32}{x^2-4x-5x+20}-\dfrac{9x-45}{x^2-4x-5x+20}=\dfrac{5}{x^2-9x+20}}\\\\\\
\mathsf{\dfrac{8x-32}{x^2-9x+20}-\dfrac{9x-45}{x^2-9x+20}=\dfrac{5}{x^2-9x+20}}\\\\\\
\mathsf{\dfrac{8x-32-(9x-45)}{x^2-9x+20}=\dfrac{5}{x^2-9x+20}}$

Numerators must be equal:

$\mathsf{8x-32-(9x-45)=5}\\\\
\mathsf{8x-32-9x+45=5}\\\\
\mathsf{8x-9x=5+32-45}\\\\
\mathsf{-x=-8}\\\\
\mathsf{x=8}\quad\longleftarrow\quad\textsf{this is the solution.}$

I hope this helps. =)

Tags: <em>rational equation fraction solution algebra</em>

7 0

2 years ago

Pls help me it would be nice !!!

notsponge [240]

Answer:

y=−3x−10

That is the equation in slope intercept form.

5 0

3 years ago

Abraham is preparing for a race. He plans to run between 24 and 30 miles a week, either 3 or 4 days a week, and the same number

e-lub [12.9K]

Answer: Abraham could run 8 miles each day for 3 days and get 24. He could run 6 miles each day for 4 days and get 24.

Abraham can run 10 miles each day for 3 days and get 30 or he could run 7.5 miles a day for 4 days and get 30.

Not sure if this is the answer it wants or not

3 0

3 years ago

1. Write the fraction 8/9 as a percent. Round to the nearest hundredth of a percent where necessary. A. 88.89% B. 1.13% C. 44.44

Nadusha1986 [10]

Answer:

1.A. 88.89

2.B.6.3%

3.C.64.92%

Step-by-step explanation:

1. $\frac{8}{9}=0.8888$

to covert it into percentage multiply it with 100

then it becomes 88.888

rounding off to the nearest hundred it becomes 88.89

2. to convert into percentage multiply it with 100

therefore 0.063×100=6.3%

3. to find percentage

%= (no of students using mobile / total no of students )× 100

= $\frac{792}{1200}$ ×100

=64.918

Rounding off to nearest hundred it becomes 64.92%

8 0

2 years ago

Read 2 more answers

5 6 costs $150 to rent a party room at Pizza-n-Games, plus $6 per person for pizza and $5 per person for game ckets. The express

musickatia [10]

Answer:

315

Step-by-step explanation:

5 0

3 years ago

Factorise x² - x with explanation please?​

Factorise x² - x with explanation please?