<span><span> 2x2-3x=2</span> </span>Two solutions were found :<span><span> x = -1/2 = -0.500
</span> x = 2</span>
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
2*x^2-3*x-(2)=0
Step by step solution :<span>Step 1 :</span><span>Equation at the end of step 1 :</span><span> (2x2 - 3x) - 2 = 0
</span><span>Step 2 :</span>Trying to factor by splitting the middle term
<span> 2.1 </span> Factoring <span> 2x2-3x-2</span>
The first term is, <span> <span>2x2</span> </span> its coefficient is <span> 2 </span>.
The middle term is, <span> -3x </span> its coefficient is <span> -3 </span>.
The last term, "the constant", is <span> -2 </span>
Step-1 : Multiply the coefficient of the first term by the constant <span> <span> 2</span> • -2 = -4</span>
Step-2 : Find two factors of -4 whose sum equals the coefficient of the middle term, which is <span> -3 </span>.
<span> -4 + 1 = -3 That's it</span>
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -4 and 1
<span>2x2 - 4x</span> + 1x - 2
Step-4 : Add up the first 2 terms, pulling out like factors :
2x • (x-2)
Add up the last 2 terms, pulling out common factors :
1 • (x-2)
Step-5 : Add up the four terms of step 4 :
(2x+1) • (x-2)
Which is the desired factorization
There are different kinds of math problem. There will be 11 rats in sewer #1.
<h3>What are word problem?</h3>
The term word problems is known to be problems that are associated with a story, math, etc. They are known to often vary in terms of technicality.
Lets take
sewer #1 = a
sewer #2 = b
sewer #3 = c
Note that A=B-9
So then you would have:
A=B-9
B=C- 5
A+B+C=56
Then you have to do a substitution so as to find C:
(B- 9) + (C-5) + C = 56
{ (C- 5)-9} + (C-5) + C = 56
3C - 19 = 56
3C = 75
B = C- 5
B = 25 - 5
Therefore, B = 20
A = B - 9
= 25 - 9
=11
Therefore, there are are 11 rats in sewer #1
Learn more about Word Problems from
brainly.com/question/21405634
Answer:
4
Step-by-step explanation:
y = 4*x
y = 4*1.5 = 6
y = 4*2.25 = 9
y = 4* 3.25 = 13
Answer:
![y=6\sqrt{3}](https://tex.z-dn.net/?f=y%3D6%5Csqrt%7B3%7D)
Step-by-step explanation:
Using the Pythagoras theorem for triangle MTU,
![TU^2+3^2=6^2](https://tex.z-dn.net/?f=TU%5E2%2B3%5E2%3D6%5E2)
![TU^2+9=36](https://tex.z-dn.net/?f=TU%5E2%2B9%3D36)
![TU^2=36-9](https://tex.z-dn.net/?f=TU%5E2%3D36-9)
![TU^2=27](https://tex.z-dn.net/?f=TU%5E2%3D27)
![TU^2=27](https://tex.z-dn.net/?f=TU%5E2%3D27)
From, triangle NTU,
![y^2=TU^2+NU^2](https://tex.z-dn.net/?f=y%5E2%3DTU%5E2%2BNU%5E2)
This implies that:
![y^2=27+9^2](https://tex.z-dn.net/?f=y%5E2%3D27%2B9%5E2)
![y^2=27+81](https://tex.z-dn.net/?f=y%5E2%3D27%2B81)
![y^2=108](https://tex.z-dn.net/?f=y%5E2%3D108)
![y=\sqrt{108}](https://tex.z-dn.net/?f=y%3D%5Csqrt%7B108%7D)
units.