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
grin007 [14]
3 years ago
7

What is the root of this equation? 2x^2 - 4x + 9 = 0​

Mathematics
1 answer:
faust18 [17]3 years ago
4 0

Answer:

x = 1 + i sqrt(7/2) or x = 1 - i sqrt(7/2)

Step-by-step explanation:

Solve for x:

2 x^2 - 4 x + 9 = 0

Divide both sides by 2:

x^2 - 2 x + 9/2 = 0

Subtract 9/2 from both sides:

x^2 - 2 x = -9/2

Add 1 to both sides:

x^2 - 2 x + 1 = -7/2

Write the left hand side as a square:

(x - 1)^2 = -7/2

Take the square root of both sides:

x - 1 = i sqrt(7/2) or x - 1 = -i sqrt(7/2)

Add 1 to both sides:

x = 1 + i sqrt(7/2) or x - 1 = -i sqrt(7/2)

Add 1 to both sides:

Answer:  x = 1 + i sqrt(7/2) or x = 1 - i sqrt(7/2)

You might be interested in
When dividing 918 by 4.2, what number should the divisor be multiplied by in order to make it a whole number?
Alexandra [31]
B. Because the divisor, 4.2, has only value in the ones and tenths places, so we only have to multiply by 10 to get to 42, which is the whole number you need.
8 0
3 years ago
Read 2 more answers
Ivanna jogged for 35 minutes.
Gennadij [26K]
Answer
Ivanna started jogging at 7:20
5 0
2 years ago
Read 2 more answers
Tim looks up at the top of a tree at an angle of elevation of 40 degrees. If heis 5 ft tall and 10 ft from the tree, how tall is
dolphi86 [110]
<h2>Answer:</h2>

13.391 ft

<h2>Explanations:</h2>

The schematic diagram of the given question is shown below;

The height of the tree is expressed as:

H = h +5

Determine the value of h using the SOH CAH TOA identity

\begin{gathered} tan\theta=\frac{opposite}{adjacent} \\ tan40^0=\frac{h}{10} \\ h=10tan40 \\ h=10(0.8391) \\ h=8.391ft \\  \end{gathered}

Determine the height of the tree

\begin{gathered} H=h+5 \\ H=8.391+5 \\ H=13.391ft \end{gathered}

Hence the height of the tree is 13.391ft

3 0
10 months ago
Helpp?? Please im very lost &amp; need help with it
sukhopar [10]

This is a typical algebra problem pretending to be geometry.  The two indicated angles are supplementary, adding to 180 degrees, precisely when the lines are parallel.

It's not really indicated, but the 8 and the 2 are in units of degrees.

6x + 8 + 4x + 2 = 180

10x = 170

x = 17 degrees


8 0
3 years ago
Simplify the equation <br><br> ( -3x )^0 / 2<br><br> if possible please explain
nalin [4]

Hi


(-3x)^0/2

Simplify

= 1/2


I hope that's help !

5 0
3 years ago
Read 2 more answers
Other questions:
  • A wrestler is trying to gain weight for an upcoming match. His current weight is 105. In the formula shown, W = weight, p = poun
    10·2 answers
  • a 4 sided cube, numbered 1-4, is rolled twice. Determine the sample space. how many possible outcomes are there?
    7·1 answer
  • Write the equation of the line below, in slope-intercept form.<br> ​
    7·2 answers
  • If the measure of &lt;1 is 95 degrees what is the measure of &lt;3.​
    13·1 answer
  • I do not understand this
    5·1 answer
  • Ms. Nailor's daughter received $25
    10·1 answer
  • HELPP ME PLEASE!!!!!
    6·1 answer
  • [4x(6-3)] + [(8-2) divided by 2)<br><br> PLEASE HELP ME IM STUCK ON THIS QUESTION ON A TEST
    10·2 answers
  • What is a water density thermometer?
    5·1 answer
  • The formula for the perimeter, P, of a rectangle is P = 2(1 + w),
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!