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
kherson [118]
3 years ago
8

Using the quadratic formula to solve 4x2 – 3x + 9 = 2x + 1, what are the values of x?

Mathematics
2 answers:
yaroslaw [1]3 years ago
8 0

Answer:

The value of x is:

x=\dfrac{5\pm \sqrt{103}i}{8}

Step-by-step explanation:

we have to use the quadratic formula to solve for x.

The equation is given as:

4x^2-3x+9=2x+1

which could also be written as:

4x^2-3x+9-2x-1=0\\\\4x^2-3x-2x+9-1=0\\\\\\4x^2-5x+8=0

The quadratic formula for the quadratic equation of the type:

ax^2+bx+c=0 is given as:

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

Here we have:

a=4, b=-5 and c=8.

Hence, by the quadratic formula we have:

x=\dfrac{-(-5)\pm \sqrt{(-5)^2-4\times 8\times 4}}{2\times 4}\\\\x=\dfrac{5\pm \sqrt{25-128}}{8}\\\\\\x=\dfrac{5\pm \sqrt{103}i}{8}

Hence, the value of x is:

x=\dfrac{5\pm \sqrt{103}i}{8}

noname [10]3 years ago
8 0

Answer:

Choice c is the answer.

Step-by-step explanation:

We have given a quadratic equation.

4x²-3x+9 = 2x+1

We have to solve above equation using quadratic formula.

First , Add -2x-1 into both sides of given equation, we have

4x²-3x+9 -2x-1 = 2x+1 -2x-1

Adding like terms, we have

4x²-5x+8  = 0 is general form of quadratic equation, where a = 4, b = -5 and c= 8.

x = (-b±√b²-4ac) / 2a is quadratic formula.

Putting given values in above equation, we have

x = (-(-5)±√(-5)²-4(4)(8) ) / 2(4)

x = (5±√24-128) / 8

x = (5±√-103) / 8

x = (5±√103√-1) / 8          ∴√-1 = i

x = (5±√103i) / 8 Which is the answer.

You might be interested in
two wheels are rolled simultaneously. The radius of the smaller wheel is r feet and the radius of the larger wheel 2r feet. If b
Nuetrik [128]
The circumference of a circle is C=2πR, where R is the radius of the circle and π≈3.14.

So if we open the circumference of the circle into a straight line segment, the length of this segment is C=2πR≈2*3.14*R=6.28R

4 rotations mean 4 circumferences that is 4 segments of length 6.28R, 
which makes a linear distance of 4*6.28R=25.12R


i: the radius of the smaller wheel is R=r, thus it covers a distance of 25.12r feet

ii: the radius of the smaller wheel is R=2r, thus it covers a distance of  25.12*2r=50.24r (feet)

50.24r is twice 25.12r, thus the larger wheel traveled Twice the distance of the smaller one.


Answer: the larger covered twice the distance of the smaller.
6 0
3 years ago
Please help me with these questions
kaheart [24]

Answers:

1st pic:

a) 2

b) 2.5 or 2

2nd pic:

a) 4

b) 5

c) 9

3rd pic:

a) 5

b) 3

Note: I may not be correct on all of them. Some of them were confusing a little bit, so I just wanted to let you know. Please don't come after me in the comments if I am wrong with one of the answers. In reality, you should be doing this. Either way, I hope this helps! Please, please, PLEASE mark brainliest. I would really appreciate it. :)

8 0
3 years ago
2 yd<br> 3.1 yd <br> find the area
STALIN [3.7K]

Answer:

Area = 6.2 yards²

Step-by-step explanation:

area = bh

area = 2(3.1)

3 0
3 years ago
Read 2 more answers
Having a hard time with this can someone answer pls
larisa [96]

The values of angles are 140 and 20

• In plane geometry, a figure which is formed by joining of two lines that share a common point is called as the angle. The two lines or rays are called as the sides of the angle and the common point is called the vertex.

• In geometry there are types of angles such as complementary angles, supplementary angles, acute angle, obtuse angles. Complementary angles are the angles whose sum is equal to 90. Supplementary angles are the angles whose sum is equal to 180.

According to the question

We are given that one angle is -7x and the other angle is -2x

Using formula of supplementary angles

-7x + (-2x) = 180

-7x -2x = 180

-9x = 180

-x = 20

x = -20

The value of x is -20

The value of angle – 7x = -7(-20) = 140

The value of angle -2x = -2(-20) = 40

Learn more about angles here

brainly.com/question/25716982

#SPJ9

 

3 0
1 year ago
Find the volume if the cylinder. Round your answer to the nearest tenth.
german

࿐αɴѕωєя࿐

12.6 ft³

Step-by-step explanation:

h = 1 ft

r = 2 ft

π = 3.14

V of cylinder = πr²h

= 3.14 × 2² × 1

= 12.56

= 12.6 ft³

Hope it helps ⚜

7 0
2 years ago
Other questions:
  • WILL MARK BRAINLIEST Mario reduced a picture that is 10 inches long by 8 inches wide using a photocopier. The reduced picture is
    10·1 answer
  • -4y=-20x+40<br> y+10=5x
    8·1 answer
  • Please help?! I don't understand!
    12·1 answer
  • Suppose that a recent poll found that 50 ​% of adults in a certain country believe that the overall state of moral values is poo
    9·1 answer
  • 1.Round off 378811 to the nearest hundreds,thousands and ten thousand
    11·2 answers
  • you are renting a moving truck for a day. There is a dailyfee of $20 and a charge of $0.75 per mile. Your budget allows a maximu
    12·1 answer
  • The lengths of the sides of a triangle are in the ratios 2:6:7
    8·1 answer
  • What is the name of the point where the sides of an angle intersect
    11·2 answers
  • This is a Math question.
    7·1 answer
  • Nathan earns $78.75 for working 5 hours. Calculate the unit rate. How much money does he earn in 1 hour?​
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!