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slega [8]
3 years ago
12

X^2+10x-7 / x^2+10x+25=0 how do i solve for x?

Mathematics
2 answers:
liq [111]3 years ago
4 0
Factorize both the numerator and denominator then equate to zero ...you'll get X
Verizon [17]3 years ago
3 0
You just have to solve the next equation:
x²+10x-7=0
Because, if the numerator is equal to "0", then the next expression
(x²+10x-7) /( x²+10x+25)=0

Therefore:
x²+10x-7=0
x=[-10⁺₋√(100+28)]/2=(-10⁺₋√128)/2=(-10⁺₋8√2)/2=-5⁺₋4√2
We have two possible solutions:

x₁=-5-4√2
x₂=-5+4√2

Now, we have to check these possible solutions.
Remember the denominator cannot be equal to "0".

if x=-5-4√2

[(-5-4√2)²+10(-5-4√2)-7] / [(-5-4√2)²+10(-5-4√2)+25]=0/32=0

Therefore: x=-5-4√2 is a solution.

if x=-5+4√2

[(-5+4√2)²+10(-5+4√2)-7] / [(-5+4√2)²+10(-5+4√2)+25]=0/32=0

Therefore: x=-5+4√√2 is a solution.

Answer: we have two solutions for x:
x₁=-5-4√2
x₂=-5+4√2





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Solve the system by substitution  y=-382<br> y = 6x + 3<br> 
nikdorinn [45]

okay so i assume you meant these two:

y=-382 and y=6x+3

Answer:

y=-382

x=-385/6

Step By Step:

y=−382;y=6x+3

Step: Solve y=−382 for y:

y=−382

Step: Substitute −382 for y in y=6x+3:

y=6x+3

−382=6x+3

−382+−6x=6x+3+−6x (Add -6x to both sides)

−6x−382=3

−6x−382+382=3+382 (Add 382 to both sides)

−6x=385

Divide both sides by -6.

x=-385/6

y=-382

6 0
3 years ago
Please look at the image for the question
Alex Ar [27]

Answer:

try b

Step-by-step explanation:

7 0
3 years ago
Use complete sentences to describe why √-1≠-√1
Salsk061 [2.6K]

Answer: because √-1 complex number ; and -√1 real number

Step-by-step explanation:

because √-1 complex number ; and -√1 real number or                                         \displaystyle\ (\sqrt{-1})^2 \neq(- \sqrt{1} )^2 \\\\-1\neq 1                                              

7 0
3 years ago
The zeros of function d are -3 and 8. Which expression could be a factor of function d?
marysya [2.9K]
X+3 or x-8
These answers will both work!
8 0
3 years ago
What additional information do you need to prove triangle NOP = triangle QSR?
Wewaii [24]
After careful consideration i think I have an answer... 
So if you notice, These two triangles are a reflection of each other. 
Now even though these two triangles equal one another, we still have to consider the fact that they are different. (one side is the opposite of another)
So lets just name all the sides that equal each other. 
∠N = ∠Q
NO = QS
QR = NP
PO = SR
∠S = ∠O 
∠P = ∠R 

(by the way i'm going to be saying {the reflective side} every time i want to refer to the side with the two lines :P) - so bare with me. 

So therefore this would mean that ∠P = ∠S would be false, since one angle is from the side that is reflected and the other isn't. Makes sense?

So lets look over at the answers...

A.) PN = SQ 
For this answer choice, PN is on the non reflective side, while SQ is on the reflective side. Soooo... This answer choice is wrong. 

B.) NO = QR
NO  is part of the  unreflective side, while QR is part of the reflective side. 
Therefore this answer is wrong. They must be part of the same side. 

C.) ∠P = ∠S 
∠P is on the unreflective side, while angle ∠S is on the reflective side. 
There fore this answer is also wrong. 

D.) ∠O = ∠S 
Now ∠O is on the reflective side while ∠S is on the reflective as well. 
There fore this answer is correct . 

YOUR ANSWER IS. 
D.) ∠O = ∠S 

Good Luck! :)


6 0
3 years ago
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