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irina [24]
3 years ago
14

What are the roots of the equation x^2=5x+14 there are 2 of them show your work

Mathematics
1 answer:
fiasKO [112]3 years ago
5 0

Answer:

The solutions are: x=7 or x=-2.

Step-by-step explanation:

The given equation is x^2=5x+14

We rewrite in the standard quadratic form to obtain;

x^2-5x-14=0

We split the middle term with -7,2 because their product is -14 and their sum is -5.

x^2-7x+2x-14=0

Factor by grouping;

x(x-7)+2(x-7)=0

(x-7)(x+2)=0

Either (x-7)=0 or (x+2)=0.

Either x=7 or x=-2.

You might be interested in
M= -(4+m)+2<br> solve for m
Allisa [31]

Answer:

m = -1

Step-by-step explanation:

m = - (4 + m) + 2

m = -4 - m + 2

m = -2 - m

+m       +m

2m = -2

/2      /2

m = -1

Hope this helps!

8 0
3 years ago
Read 2 more answers
I need help with question #2. ASAP. Anything is appreciated:)
DedPeter [7]
Y = 4/5x + 30

4/5 because the slope is 4 up, 5 right. 30 is the y-int
4 0
3 years ago
Which ratio is porportional to 18/21? A.2/3 B. 30/35 C. 36/48 D.1/3
defon
You can solve this problem by applying the proccedure below:
 
 You have:
 
 a) 18/21=2/3
 18x3/21x2
 36≠42 (2/3 is not proportinal to 18/21).
 
 b)18/21=30/35
 18x35/21x30
 630=630  (30/35 is proportional to 18/21)
 
 c)18/21=36/48
 18x48/21x36
 864≠756  (36/48<span> is</span><span> not proportinal to 18/21)
</span> 
 d)18/21=1/3
 18x3/21x1
 54≠21  (<span> 1/3 is</span><span> not proportinal to 18/21)
</span> 
 Therefore, you can conclude that the correct option is: B.30/35
8 0
3 years ago
Im lost please help me
zepelin [54]
Let C = the Chinese books.
Let E = the English language books.

C = 4/5 E

E - 300 = C - 180 Notice how you get this equation. You take 300 away from the English books and 180 from the Chinese and according to the question, you get an equal number of both. Put c = 4/5E into the second equation.

E - 300 = 4/5 E - 180 Add 300 to both sides.
E = 4/5 E - 180 + 300
E = 4/5 E + 120 Now subtract 4/5 E from both sidies.
E - 4/5 E = 120
1/5 E = 120 Now multiply by 5
E = 120 * 5
E = 600

So the number of books are
600 written in English
4/5 of 600 = 2400 /5 = 480 Chinese books.

English 600
Chinese 480
6 0
3 years ago
Find the value of x in the triangle shown below.
DIA [1.3K]

Answer:

x=8

Step-by-step explanation:

We can use the Pythagorean theorem to solve

a^2+b^2 = c^2  where a and b are the legs and c is the hypotenuse

6^2 + x^2 = 10^2

36 + x^2 = 100

Subtract 36 from each side

36-36 +x^2 = 100-36

x^2 = 64

Take the square root of each side

sqrt(x^2) = sqrt(64)

x = 8

7 0
3 years ago
Read 2 more answers
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