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
Cerrena [4.2K]
11 months ago
12

What are the solutions of x² + 6x - 16 = 0?

Mathematics
1 answer:
AveGali [126]11 months ago
6 0

Step-by-step explanation:

x_{1,\:2}=\frac{-6\pm \sqrt{6^2-4\cdot \:1\cdot \left(-16\right)}}{2\cdot \:1}\\\sqrt{6^2-4\cdot \:1\cdot \left(-16\right)}\\\sqrt{6^2+64}\\\sqrt{36+64}\\\sqrt{100}\\\sqrt{10^2}\\=10\\x_1=\frac{-6+10}{2\cdot \:1},\:x_2=\frac{-6-10}{2\cdot \:1}\\\\\bold{x_1:2}\\\frac{-6+10}{2\cdot \:1}\\\frac{4}{2\cdot \:1}\\\frac{4}{2}\\=2\\\\\bold{x_2:-8}\\\frac{-6-10}{2\cdot \:1}\\\frac{-16}{2\cdot \:1}\\\frac{-16}{2}\\-\frac{16}{2}\\=-8

Answer:

x₁ = 2

x₂ = -8

You might be interested in
an open rectangular cardboard box with a square base is to have a volume of 256cm^3. Find the dimensions of the box if the area
Anit [1.1K]
Let
x------> the length side of the square base of the box
y-------> the height of the box

we know that
volume of the box=b²*h
b=x
h=y
volume=256 cm³
so
256=x²*y------>y=256/x²-------->  equation 1

<span>The amount of material used is directly proportional to the surface area, so we will minimize the amount of material by minimizing the surface area.</span>

surface area of the cardboard=area of the base+perimeter of base*height
area of the base=x²
perimeter of the base=4*x
height=y
surface area=x²+4x*y-----> equation 2
substitute equation 1 in equation 2
SA=x²+4x*[256/x²]-----> SA=x²+1024/x

step 1 
find the first derivative of SA and equate to zero
2x+1024*(-1)/x²=0------> 2x=1024/x²----> x³=512--------> x=8 cm
y=256/x²------> y=256/8²-----> y=4 cm

the answer is
the length side of the square base of the box is 8 cm
the height of the box is 4 cm

5 0
3 years ago
There are 20 baseball cards and 10 football cards on display at a sports museum. Noah says that
erica [24]

Answer:

They are both right becuase if you just take away 1 from 20 and 10  you get 2 and 1. For the 4:2 one take away 1 and mutiply by 2 equalling 4:2 but they are still the same thing.

Step-by-step explanation:

6 0
2 years ago
Look at the pic and help if you can thxxxx
givi [52]

Answer:

The 1,3,and 4.

Step-by-step explanation:

6 0
3 years ago
-3+5x=12<br> jljlljj j kjljjlknlnlknlk
monitta
<h3 /><h3>- 3 + 5x = 12 \\ 5x = 12 - 3 \\ 5x = 9 \\ x =  \frac{9}{5}</h3>

4 0
2 years ago
Read 2 more answers
What is angle 3 is complement of angle 4 and m/4 = 47 degrees. find m angle 3??
grigory [225]

Answer:

m= 188 and Angle 3 = 90-47 = 43

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Other questions:
  • Aspen has six sections of equal shape and size each section is either black or white. The table shows the results of the experim
    5·1 answer
  • Write the equation of a parabola, in standard form, that goes through these points: (0, 3) (1, 4) (-1, -6)
    15·1 answer
  • A password is required to be 12 to 16 characters in length. Characters can be digits (0-9), upper or lower-case letters (A-Z, a-
    15·1 answer
  • The pie chart to the right shows how adults rate their financial shape. Suppose 4 people are chosen at random from a group of 14
    11·1 answer
  • ¿cuantos envases se necesitan, si ponemos los 6 litros en envases de 3/4 litros?​
    6·1 answer
  • Gretta is saving for retirement. She deposits $125 each month at 6% annual interest for 35 years. According to her calculations,
    7·1 answer
  • What is the slope of the line that<br> passes through these two points?<br> (1, -2)<br> (3, 4)
    12·1 answer
  • Jahier's Bikes rents bikes for $20.00 plus $5.00 per hour. Daniel paid $35.00 to rent a bike. For how
    12·1 answer
  • I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
    11·1 answer
  • Kellen wants to rent a banquet room in a restaurant for her cousin’s baby shower. The restaurant charges $350 for the banquet ro
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!