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
Dmitrij [34]
3 years ago
15

What is the solution set of the equation using the quadratic formula?

Mathematics
1 answer:
oee [108]3 years ago
4 0

(1)

we are given

x^2+6x+10=0

we can use quadratic formula

\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}

x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

now, we can compare and find a , b and c

we get

a=1,b=6,c=10

now, we can plug these values into quadratic formula

x=\frac{-6\pm \sqrt{6^2-4(1)(10)}}{2(1)}

x=\frac{-6+\sqrt{6^2-4\cdot \:1\cdot \:10}}{2\cdot \:1}

we can simplify it

x=-3+i

x=\frac{-6-\sqrt{6^2-4\cdot \:1\cdot \:10}}{2\cdot \:1}

x=-3-i

so, we will get solution

{−3+i, −3−i}.........Answer

(2)

we are given equation as

x^2-8x+14=0

Since, Jamal solve this equation by completing square

so, firstly we will move constant term on right side

so,  subtract both sides by 14

x^2-8x+14-14=0-14

x^2-8x=-14

we can write

-8x=-2\times 4\times x

so, we will add both sides by 4^2

x^2-8x+4^2=-14+4^2

we get

x^2-8x+16=-14+16..............Answer


You might be interested in
Pls help o have to return this today
maxonik [38]

Answer:

Which part of the story's plot structure does this sentence illustrate? I think its B. Climax

7 0
3 years ago
Which tipe of this method???​
Hoochie [10]

Answer:

It appears to be substitution

Step-by-step explanation:

I think you are talking about system of equations

6 0
3 years ago
How would I do this?
Lelu [443]
I'm not sure about part B, but part A will have the answer "if Ron eats lunch today, then he will drink a glass of milk" (without quotes of course)

The idea is that we have these arguments in symbolic form
P = Ron eats lunch today
Q = Ron eats a sandwich
R = Ron will drink a glass of milk

The format is 
"If P then Q" ----> "if Q then R"  so therefore "If P then R"

We see that P leads to Q, then Q leads to R. So overall P leads to R. We connect them as a chain of sorts. We can skip over Q since we know the first point will lead to the last. Think of it as a shortcut of sorts.
8 0
3 years ago
A student's grade depends on her score on four equally-weighted exams. Her average on the first three exams is 92. What must she
Sergeeva-Olga [200]
3x92 = 276 (first 3 exams)
average of at least 90 (90 x 4 = 360)

360 - 276 = 84

Answer
<span>she needs to score at least 84 on the fourth exam </span><span>in order to guarantee a final average of at least 90</span>
4 0
3 years ago
At lunchtime, a cafeteria served a total of 3/8 of a pot of chicken soup and 7/8 of a pot of
Effectus [21]
Answer:

1 1/4

reason:

add 7/8 and 3/8 to get 10/8
this can be simplified to 1 2/8
simplify 2/8 to 1/4 to get the final answer, 1 1/4
7 0
3 years ago
Read 2 more answers
Other questions:
  • What % of 400 is 85?
    15·1 answer
  • A grain silo is in the shape of a cylinder. The area of the circular roof is 803.84 square feet. If 13,665.28 cubic feet of grai
    6·1 answer
  • You bought two tickets to the movies at a price of $7 and six tickets at a price of $5
    8·1 answer
  • Make Estimates for the following
    12·1 answer
  • Which inequality BEST represents the number of days, d, she practices?
    6·1 answer
  • Is it possible to build a triangle with side lengths of 3, 3, and 9?
    6·2 answers
  • What is the measure of &lt;7?
    15·1 answer
  • I KNOW THIS ISNT MATH BUT PLEASE HELP! Which statements describe the
    5·1 answer
  • Help!!!!!!!!!!!! !!!!!!!!!!!!
    5·2 answers
  • A store sells wrapping paper for $3, greeting cards for $2, and ribbon for $1. The soccer
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!