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
IceJOKER [234]
3 years ago
14

Complete the square for 5x^2+10x-16. first one to answer gets brainiest

Mathematics
1 answer:
ella [17]3 years ago
5 0

Answer: x= -1 <u>+</u> √(21/5)

Step-by-step explanation:

The given equation can be written as 5x^2+10x-16=0

keep the x terms on one side and constant on another side

5x^2+ 10x = 16.

Now, to make a complete square like (x+a)^2 = x^2+2xa+a^2.

Divide the given equation by 5 on both sides,

The equation now becomes x^2+2x = 16/5.

The middle term is 2xa=2x

By solving for term "a" in above equation, a= 1

The entire equation of complete square should be x^2+2x+1, which is equal to (x+1)^2

Here, in the equation given in question, +1 is missing to make a complete square.

In order to add 1 we have to simultaneously minus 1 to keep the values in the equation unchanged.

Thus, x^2+2x+1-1 =16/5.

Again moving the constant -1 to other side, we have

x^2+2x+1 =16/5+1

After simplification,

(x+1)^2= 21/5

Taking square root on both sides,

(x+1)= <u>+</u> √(21/5)

The answer is x= -1 <u>+</u> √(21/5)

You might be interested in
Find the slope of the line through each pair of point
Blizzard [7]

Answer:

slope = \frac{2}{7}

Step-by-step explanation:

Calculate the slope m using the slope formula

= (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 6, 3) and (x₂, y₂ ) = (1, 5)

m = \frac{5-3}{1+6} = \frac{2}{7}

8 0
3 years ago
Read 2 more answers
1206.37 ROUNDED TO NEARST HUNDRETH
Andreyy89

Answer:

It is already rounded

Step-by-step explanation:

4 0
3 years ago
They were 64 dogs and cats at the pet store. If 25% were cats, how many cats were at the pet store?
noname [10]

Answer:

16 are cats

Step-by-step explanation:

64 x 25%

64 x .25

16

4 0
3 years ago
Read 2 more answers
Josh went to applebee and enjoyed a delicious steak. He enjoyed his server and wanted to give an extra special tip. Usually josh
Sonbull [250]

Answer:

Josh's total bill is $ 27.825

Step-by-step explanation:

Given:

The subtotal of the Josh Bill =   $21.00

<u>Finding the usual amount Josh gave as Tip To his sever:</u>

Usually josh tips 20% to all servers

So Tip = 20% of his subtotal

=> 20\% \times 21

=>\frac{20}{100} \times 21

=>0.2 \times 21

=>4.2

So Josh usually tips $4.2 to his server

<u>Finding the amount Josh gave 25%</u><u> </u><u>as Tip To his sever:</u>

But now he tips 25% which is

=> 25% of 21

=> \frac{25}{100} \times 21

=> 0.25 \times 21

=> 5.25

Thus the tip amount will be $5.25

So he will be giving (5.25 - 4.2) = $1.05 more than the usual tip

<u>Finding the total bill</u>

The total bill  = subtotal+ 7.5% sales tax +  25% tip

=> 21 + 7.5 % of 21 + 25% of 21

=> 21 + \frac{75}{100} \times 21 +  \frac{25}{100} \times 21

=>21 +0.075 \times 21 +  0.25 \times 21

=> 21 +1.575 +5.25

=>27.825

3 0
3 years ago
What is the factorization of the trinomial below?
mart [117]

x^3-12x^2+35x

=x (x^2 - 12x + 35)

=x(x -7)(x -5)

Answer

C. x(x - 7)(x - 5)

5 0
3 years ago
Other questions:
  • What two numbers multiply to get -24 and add to get 2
    6·1 answer
  • Would you rather have pennies to match your weight or quarters to match your height
    7·1 answer
  • there are 18 bikes in a rack. there are 4 more blue bikes than yellow, and 2 less yellow bikes than green bikes. how many bikes
    5·1 answer
  • What is the first quartile of the data set represented by the box plot shown below?
    13·1 answer
  • marlena paid the cashier $20 to buy 4 pairs of earrings. The cashier gave her back $0.04 in change . Each pair of earrings is th
    11·2 answers
  • How do you put Logs in on the calculator
    10·1 answer
  • In square ABCD, diagonal DB is drawn. If the m
    8·1 answer
  • Madeline is selling lemonade so she can have enough money to buy a scooter.The scooter is $15.20. Throughout the week Madeline e
    8·1 answer
  • Do this work if someone give correct answer I make her brainliest do this worksheet please
    10·1 answer
  • <img src="https://tex.z-dn.net/?f=%5Cfrac%7Bt%7D%7B6%7D%20%5C%20%20%5Ctextgreater%20%5C%20-7" id="TexFormula1" title="\frac{t}{6
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!