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
ikadub [295]
3 years ago
9

What is the solution to x2 + 10x + 28 = 0 when written in the form a ± bi?

Mathematics
2 answers:
White raven [17]3 years ago
8 0
x^2+10x+28=0\\\\a=1;\ b=10;\ c=28\\\\\Delta=b^2-4ac\\\\\Delta=10^2-4\cdot1\cdot28=100-112=-112\\\\x_1=\dfrac{-b-\sqrt\Delta}{2a};\ x_2=\dfrac{-b+\sqrt\Delta}{2a}\\\\\sqrt\Delta=\sqrt{-12}=i\sqrt{12}=i\sqrt{4\cdot3}=i\sqrt4\cdot\sqrt3=2i\sqrt3

x_1=\dfrac{-10-2i\sqrt3}{2\cdot1}=-5-i\sqrt3\\\\x_2=\dfrac{-10+2i\sqrt3}{2\cdot1}=-5+i\sqrt3
mr Goodwill [35]3 years ago
4 0
Use the quadratic formular:
x=[-10+√(10²-4*1*28)]/2*1 or x=[-10-√(10²-4*1*28)]/2*1
x=[-10+√(-12)]/2 or x=[-10-√(-12)]/2
x=-5+√3i or x=-5-√3i
You might be interested in
write the equation of a line in slope intercept form that passes through (2 -2) and is parallel to 2x+4y=8
Ne4ueva [31]

Answer:

y= -1/2x-1

Step-by-step explanation:

1) put the equation in y-intercept form to find the slope of the original line 2x+4y=8

y=8/4-2x/4

y=2-1/2x

slope of second line will be -1/2

2) put point into the point-slope form (2,-2)

y-(-2)= -1/2(x-2)  now simplify

y+2= -1/2x+2/2

y+2 = -1/2x + 1

y+2-2=-1/2x + 1 -2 ====>>>>  y= -1/2x-1

8 0
3 years ago
PLEASE HELP WILL GIVE BRANLIEST IF CORRECT
nevsk [136]

Answer:

1,500,000,000

Step-by-step explanation:

6 0
3 years ago
What is the area of a rectangle that has the base of 5 centimeters and a height of 2 centimeters?
Alex_Xolod [135]

Answer:

10 square centimeters.

Step-by-step explanation:

The area of a rectangle=base*height. 5*2=10 square centimeters.

5 0
3 years ago
Read 2 more answers
5 3/8 - 2 1/8 = (make sure you simplify the fraction)
Alex787 [66]
13/4, is your answer.
6 0
3 years ago
The sum of 15 and three times a number is 27. Find the number.
ser-zykov [4K]

Answer:

x is a number that is multiple by 3

Step-by-step explanation:

00000009999000000p00

8 0
2 years ago
Other questions:
  • Find the sum. 1/6 + 3/4. ​
    8·1 answer
  • What is 3.25 reapting 5 as a fraction
    11·1 answer
  • Need Help ASAP!!
    13·1 answer
  • Luna buys a shirt that costs $15.65. She gives the cashier $20 and receives $3.25 in change. What is the percent error in the am
    9·1 answer
  • Which statements correctly describe the data shown in the scatter plot?
    8·1 answer
  • What is the solution of the equation x2=64
    6·2 answers
  • Work out 25% of 20 metres
    10·2 answers
  • How do you figure out 3/2 divide 1/4=N. What is n between
    14·1 answer
  • PLEASE HELP QUICK!!!!! WILL GIVE BRAINIEST!!!!!!
    11·1 answer
  • What are the. basis information that are essential to have related to foreign employment​
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!