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
s344n2d4d5 [400]
2 years ago
15

What are the roots of the equation? 2x^2+x=6

Mathematics
2 answers:
fredd [130]2 years ago
4 0

Answer:

They would be 3/2 & -2.

ZanzabumX [31]2 years ago
4 0

Answer:

x = - 2, x = \frac{3}{2}

Step-by-step explanation:

Given

2x² + x = 6 ( subtract 6 from both sides )

2x² + x - 6 = 0

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 2 × - 6 = - 12 and sum = + 1

The factors are + 4 and - 3

Use these factors to split the x- term

2x² + 4x - 3x - 6 = 0 ( factor the first/second and third/fourth terms )

2x(x + 2) - 3(x + 2) = 0 ← factor out (x + 2) from each term

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

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

2x - 3 = 0 ⇒ 2x = 3 ⇒ x = \frac{3}{2}

You might be interested in
Which value of a in the exponential function below would cause the function to stretch?
mote1985 [20]

Answer:

a' > a

Step-by-step explanation:

f(x)=ae^{bx}

A larger value for a will stretch the exponential in the y direction. A larger value for b will stretch it in the x direction.

5 0
3 years ago
Does anyone get this I accidentally pressed that by accident
sergiy2304 [10]

Answer:

this has happened to me before. unfortunately I had to refresh the page.

Step-by-step explanation:

write down the answers you already have done.

4 0
2 years ago
How do you find the equation of a scatter plot?
Mashcka [7]
Make a line of best fit then find the slope and y intercept. put it into the y=mx + b form.

m=slope
b=y intercept
3 0
3 years ago
Let O be an angle in quadrant III such that cos 0 = -2/5 Find the exact values of csco and tan 0.​
vivado [14]

well, we know that θ is in the III Quadrant, where the sine is negative and the cosine is negative as well, or if you wish, where "x" as well as "y" are both negative, now, the hypotenuse or radius of the circle is just a distance amount, so is never negative, so in the equation of cos(θ) = - (2/5), the negative must be the adjacent side, thus

cos(\theta)=\cfrac{\stackrel{adjacent}{-2}}{\underset{hypotenuse}{5}}\qquad \textit{let's find the \underline{opposite side}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2-a^2}=b \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ \pm\sqrt{5^2 - (-2)^2}=b\implies \pm\sqrt{25-4}\implies \pm\sqrt{21}=b\implies \stackrel{III~Quadrant}{-\sqrt{21}=b}

\dotfill\\\\ csc(\theta)\implies \cfrac{\stackrel{hypotenuse}{5}}{\underset{opposite}{-\sqrt{21}}}\implies \stackrel{\textit{rationalizing the denominator}}{-\cfrac{5}{\sqrt{21}}\cdot \cfrac{\sqrt{21}}{\sqrt{21}}\implies -\cfrac{5\sqrt{21}}{21}} \\\\\\ tan(\theta)=\cfrac{\stackrel{opposite}{-\sqrt{21}}}{\underset{adjacent}{-2}}\implies tan(\theta)=\cfrac{\sqrt{21}}{2}

4 0
2 years ago
What is 24 2/3 divided by 1 3/4
KengaRu [80]
296/21 is the answer hope this helps 
4 0
2 years ago
Read 2 more answers
Other questions:
  • The correct way to use a seat belt is
    8·2 answers
  • If measure angle XAB=32 What is measure angle CAX?
    11·2 answers
  • Diana invested $3000 in a savings account for 3 years. She earned $450 in interest over that time period. What interest rate did
    7·2 answers
  • 5+x/6=-1 What is x??​
    8·2 answers
  • What fraction is equal to 66?
    8·2 answers
  • AthXL for School
    11·1 answer
  • What is - (6x + 9y) in distributed form
    5·1 answer
  • Solve for p. <br> P=?<br> 12 = p<br> 11 12
    13·1 answer
  • HELPP PLZ WILL MARK BRAINLIEST AGAIN
    8·1 answer
  • Which statement is false? A. (−2)×5&lt;(−20) B. (−2)×(−5)&gt;(−25) C. 2×5&gt;(−25) D. 2×(−5)&lt;20
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!