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
german
3 years ago
10

95i is a root of f(x)=x^2 +9025. find the other roots of f(x)

Mathematics
1 answer:
Alex_Xolod [135]3 years ago
5 0

Answer:

Other root is -95i

Step-by-step explanation:

Here, Nature of roots of f(x) is imaginary roots.

Therefore, Roots are conjugate of each other.

Conjugate of x + yi is x - yi.

we get conjugate of 95i as -95i

Verification shows....

(x-95)(x+95i)=0

{x }^{2}  -  {95}^{2}  {i}^{2}  = 0 \\  {x }^{2}   + {95}^{2} = 0  \\ {x }^{2}   + 9025= 0   \\ f(x) = 0

this, roots are -95i and 95i

You might be interested in
On a coordinate plane, a shape is plotted with vertices of (3, 1), (0, 4), (3, 7), and (6, 4). what is the area of the shape if
QveST [7]
Let
<span>A (3, 1)
B (0, 4)
C(3, 7)
D (6, 4)

step 1
find the distance AB
d=</span>√[(y2-y1)²+(x2-x1)²]------> dAB=√[(4-1)²+(0-3)²]-----> dAB=√18 cm

step 2
find the distance CD
d=√[(y2-y1)²+(x2-x1)²]------> dCD=√[(4-7)²+(6-3)²]-----> dCD=√18 cm

step 3
find the distance AD
d=√[(y2-y1)²+(x2-x1)²]------> dAD=√[(4-1)²+(6-3)²]-----> dAD=√18 cm

step 4
find the distance BC
d=√[(y2-y1)²+(x2-x1)²]------> dBC=√[(7-4)²+(3-0)²]-----> dBC=√18 cm

step 5
find slope AB and CD
m=(y2-y1)/(x2-x1)
mAB=-1
mCD=-1
AB and CD are parallel and AB=CD

step 6
find slope AD and BC
m=(y2-y1)/(x2-x1)
mAD=1
mBC=1
AD and BC are parallel and AD=BC
and 
AB and AD are perpendicular 
BC and CD are perpendicular

therefore
the shape is a square wit length side √18 cm

area of a square=b²
b is the length side of a square
area of a square=(√18)²------> 18 cm²

the answer is
18 cm²

see the attached figure


6 0
3 years ago
Write the equation of the line that passes through the points (−7,0) and (6,−4).
Over [174]

Answer:

y=-4/13x-28/13

Step-by-step explanation:

m=y2-y1/x2-x1

m=-4-0/6-(-7)

m=-4-0/6+7

m=-4/13

y-y1=m(x-x1)

y-0=-4/13(x-(-7))

y-0=-4/13x-28/13

y=-4/13x-28/13

5 0
2 years ago
What is x to the power of 2 multiplied by negative 3x
melamori03 [73]

x^2*(-3x)=-3x^3. The power of x becomes 3 because you add the powers of x. (2+1=3)


3 0
3 years ago
HELP PLS :) <br> What is the slope of the line?
Vedmedyk [2.9K]

Answer:

-1/3

Step-by-step explanation:

if we use the rise over run method we see a fall of 1 and a run of 3. since we are using fall instead of rise that makes this slope negative. hope this helped :)

3 0
2 years ago
Which description does NOT guarantee that a quadrilateral is a rectangle?
grandymaker [24]
The answer would be : A parallelogram with congruent sides does NOT guarantee that a quadrilateral is a rectangle  
7 0
3 years ago
Other questions:
  • take my points by writing HI and whatever you want in the answer are take the points i don't need them stay safe and indoors. :)
    12·1 answer
  • 7 divide 789 show your work
    12·1 answer
  • there is a 40% chance that you will lose $25,000 if you invest in a company, but there is a 25% chance that you will break even
    6·1 answer
  • Exhibit B In order to determine whether or not there is a significant difference between the hourly wages of two companies, two
    15·1 answer
  • Answer if u can please will mark brainest show work please
    11·1 answer
  • 5×5×5×5×5×5<br><img src="https://tex.z-dn.net/?f=%20%7B5%7D%5E%7B6%7D%20" id="TexFormula1" title=" {5}^{6} " alt=" {5}^{6} " ali
    12·2 answers
  • Simplify<br> -3/4(5p-12)+2(8-1/4p)
    14·1 answer
  • The distance between two stars is 9.0 x 10 to the power of -3 light years. A light year is equal to
    6·1 answer
  • To the nearest whole number, what is the distance<br> between the points M(-5, 7) and L( 9, 12)?
    10·1 answer
  • HELPP PLZZ!!! 57 POINTSPart A: Rhett made $250 washing cars with his mobile car wash company. He charges $70 per car and earned
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!