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butalik [34]
3 years ago
11

What is this math problem x²+9×+14=0

Mathematics
1 answer:
WINSTONCH [101]3 years ago
5 0
x^2+9x+14=0\\\\ x_{1}=\frac{-b-\sqrt{b^2-4ac} }{2a}=\frac{-9-\sqrt{9^2-4*1*14 } }{2 }=\frac{-9-\sqrt{81-56 } }{2 }= \frac{-9-\sqrt{25 } }{2 }=\\\\=\frac{-9-5 }{2 }=\frac{-14 }{2 }= -7\\\\ x_{2}=\frac{-b+\sqrt{b^2-4ac} }{2a}=\frac{-9+\sqrt{9^2-4*1*14 } }{2 }= \frac{-9+5 }{2 }=\frac{- 4 }{2 }= -2


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Ellus
butalik [34]

9514 1404 393

Answer:

  2.25

Step-by-step explanation:

Add the square of half the x-coefficient to complete the square.

  (-3/2)² = 9/4 = 2.25

4 0
3 years ago
(-8) - 3y= 25<br><br>if you have time please help, thank you​
Neko [114]

(-8) - 3y= 25

-8-3y= 25

move -8 to the other side

sign changes from -8 to +8

-8+8-3y=25+8

-3y= 33

divide both sides by -3 to get y by itself

and to get +y

-3y/-3= 33/-3

Answer:

y= -11

8 0
2 years ago
Read 2 more answers
IM REALLY CONFUSED!??? giving away 20pts!!
Olenka [21]

Answer:

A. y = -12.5 + 28000

B. $700

Step-by-step explanation:

7 0
3 years ago
Max has 5.50. He has eight more quarters than he does nickels. He had four times as many dimes as he has nickels. How many quart
Oliga [24]

Answer:

<h2>There are 13 quarters, 5 nickels and 20 dimes.</h2>

Step-by-step explanation:

Givens

  • Max has $5.50.
  • He has eight more quarters than he does nickels.
  • He had four times as many dimes as he has nickels.

From these statements, we can deduce algebraical expressions to solve the problem. Let's call q quarters, n nickels and d dimes.

q=n+8 (8 more quarters than nickels)

d=4n (he has four times as many dimes as he has nickels).

0.25q+0.05n+0.10d=5.50 (Max has a total of $5.50, one quartes is $0.25, one nickel is $0.05 and one dime is $0.10).

Let's replace the first two expressions into the third equation

0.25(n+8)+0.05n+0.10(4n)=5.50\\0.25n+2+0.05n+0.40n=5.50\\0.70n=5.50-2\\n=\frac{3.50}{0.70}\\ n=5

There are 5 nickels.

Now, we use this value to find the number of quarters

q=5+8=13

There are 13 quarters.

Also, d=4(5)=20

There are 20 dimes.

Therefore, there are 13 quarters, 5 nickels and 20 dimes.

3 0
2 years ago
How to know what number is a rational number?
Art [367]

Answer:

A rational number is a number that can be made by dividing two integers (an integer is a number with no fractional part).  The word rational includes the word "ratio." Rational numbers are basically numbers, either positive or negative that you get by dividing 2 numbers. Any number is a rational number, even fractions and decimals, except pi due to the fact that it's a irrational number.

Step-by-step explanation:

Examples of rational numbers include, 1, which you get by dividing 1 by 1, 2 which you get by dividing 2 by 1 and 2.12, which you get by dividing 212 by 100.

4 0
2 years ago
Read 2 more answers
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