1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Luda [366]
3 years ago
5

Hence solve the equation x^3+x^2-6x=0​

Mathematics
2 answers:
Sever21 [200]3 years ago
8 0

Answer:x³ + x² - 6x = 0

x(x² + x - 6) = 0

x(x² + 3x - 2x - 6) = 0

x[x(x + 3) - 2(x + 3)] = 0

x(x - 2)(x + 3) = 0

x₁ = 0

x - 2 = 0 => x₂ = 2

x + 3 = 0 => x₃ = - 3

Step-by-step explanation:

Aneli [31]3 years ago
4 0

<em>Answer:</em>

<em />

<em>x³ + x² - 6x = 0</em>

<em>x(x² + x - 6) = 0</em>

<em>x(x² + 3x - 2x - 6) = 0</em>

<em>x[x(x + 3) - 2(x + 3)] = 0</em>

<em>x(x - 2)(x + 3) = 0</em>

<em>x₁ = 0</em>

<em>x - 2 = 0 => x₂ = 2</em>

<em>x + 3 = 0 => x₃ = - 3</em>

You might be interested in
The photo below shows the Royal Ontario Museum in Toronto, Canada. Are angles 2 and 4 alternate interior angles, same side inter
Sav [38]

Answer:

Alternate interior angles

8 0
3 years ago
A bag contains 5 blue, 3 red, 6 green, 9 orange, and 20 black marbles. What is the ratio of the number of blue marbles to the nu
barxatty [35]

Answer:

C

Step-by-step explanation:

blue+green=15

blue is 5

5 to 15

4 0
3 years ago
Read 2 more answers
30 points and brainliest help me out please. 5th grade
Tatiana [17]

Answer:

Step-by-step explanation:

a,a, and a

8 0
3 years ago
How to solve logarithmic equations as such
Serga [27]

\bf \textit{exponential form of a logarithm} \\\\ \log_a b=y \implies a^y= b\qquad\qquad a^y= b\implies \log_a b=y \\\\\\ \begin{array}{llll} \textit{Logarithm of exponentials} \\\\ \log_a\left( x^b \right)\implies b\cdot \log_a(x) \end{array} ~\hspace{7em} \begin{array}{llll} \textit{Logarithm Cancellation Rules} \\\\ log_a a^x = x\qquad \qquad \stackrel{\textit{we'll use this one}}{a^{log_a x}=x} \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}

\bf \log_2(x-1)=\log_8(x^3-2x^2-2x+5) \\\\\\ \log_2(x-1)=\log_{2^3}(x^3-2x^2-2x+5) \\\\\\ \log_{2^3}(x^3-2x^2-2x+5)=\log_2(x-1) \\\\\\ \stackrel{\textit{writing this in exponential notation}}{(2^3)^{\log_2(x-1)}=x^3-2x^2-2x+5}\implies (2)^{3\log_2(x-1)}=x^3-2x^2-2x+5

\bf (2)^{\log_2[(x-1)^3]}=x^3-2x^2-2x+5\implies \stackrel{\textit{using the cancellation rule}}{(x-1)^3=x^3-2x^2-2x+5} \\\\\\ \stackrel{\textit{expanding the left-side}}{x^3-3x^2+3x-1}=x^3-2x^2-2x+5\implies 0=x^2-5x+6 \\\\\\ 0=(x-3)(x-2)\implies x= \begin{cases} 3\\ 2 \end{cases}

5 0
3 years ago
A piece of cloth is 12 yards in length. if 3/4 of the cloth is used for bedsheet, how many yards of the cloth will be left?
larisa [96]

Answer:

9 yards

Step-by-step explanation:

multiply the length of the cloth by the length used for bedsheet

12*\frac{3}{4}\\9 yards

3 0
2 years ago
Other questions:
  • Six less than twice a number is -22
    5·1 answer
  • Timothy runs a catering service for large parties he needs 37 heads of lettuce for salad to feed 100 guest what ratio illustrate
    6·1 answer
  • The purpose of a confidence interval is to provide __________________.
    7·1 answer
  • Drag the simplified value into the box to match each expression.
    12·1 answer
  • What is the variance of the following data? If necessary, round your answer to two decimal places.
    10·1 answer
  • Claire was out at a restaurant for dinner when the bill came. Her dinner came to $26. After adding in a tip, before tax, she pai
    9·2 answers
  • Find the measurement indicated. ​
    13·1 answer
  • DUE IN 5 MINUTES PLZ HELP LOL:)
    12·2 answers
  • David's showerhead uses three gallons of water per minute. He wants to replace the showerhead with a new one that uses 40% less
    7·1 answer
  • Evaluate the difference between 5.1 and 1.8
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!