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
Debora [2.8K]
3 years ago
12

What are the solutions of the equation x^4 – 5x^2 – 36 = 0? Use factoring to solve.

Mathematics
1 answer:
hammer [34]3 years ago
3 0

Answer:

Step-by-step explanation:

The equation is x^4 – 5x^2 – 36 = 0

We will break the middle term:

Firstly multiply the coefficient of x^4 by constant term of the equation:

1*36 = 36

Now find any two numbers whose product is 36 and their sum or difference is equal to 5

9*4 = 36

9-4 = 5

Now,

x^4 – 5x^2 – 36 = 0

x^4-9x^2+4x^2-36=0

Now take the common:

x^2(x^2-9)+4(x^2-9)=0

(x^2+4)(x^2-9)=0

x²+4=0,

x²= 0-4,

x²=-4,  

Take root on both sides:

√x²=+/-√-4

+/-√-4 = +/-√-1 *√4

√-1 = i

Then +/-√-1 *√4 = √4 i

We know that the root of 4 is 2

Then we can write it as +/-2i

Thus x = 2i , -2i

Now (x^2-9)= 0

x²=0+9

x²=9

Take square root on both sides:

√x²=√9

x=+/-3

x= 3, -3

Therefore the values of x are 2i, -2i, 3 , -3 ....

You might be interested in
What is the answer to the problem, -7^2?
stich3 [128]

Answer:

49

Step-by-step explanation:

-7² = -7 × -7 = <u>4</u><u>9</u>

So, -7² = 49

<em>Hope it helps and is useful</em><em> </em><em>:</em><em>)</em>

4 0
3 years ago
Read 2 more answers
Let v = 9.<br><br> What is the value of r in the equation r = 3 × v + 13?
daser333 [38]
<span>r = 3 × v + 13
</span><span>r = 3 × 9 + 13
</span><span>r = 27 + 13
v = 40</span>
8 0
3 years ago
The sum of four times a number and five times another number is -28. The sum of nine times the first number and two times the se
dedylja [7]

Answer:

  -8

Step-by-step explanation:

If we let x and y represent the first and second numbers, respectively, we can write the problem statement as the equations ...

  • 4x +5y = -28
  • 9x +2y = 11

We can multiply the first equation by -9 and add 4 times the second equation to get an equation in y alone:

  -9(4x +5y) +4(9x +2y) = -9(-28) +4(11)

  -37y = 296 . . . . . simplify

  296/-37 = y = -8 . . . . . divide by the coefficient of y

The second number is -8.

7 0
3 years ago
I need some help lol
andrew-mc [135]
A veriable = 1, use it as with pemdas
5 0
3 years ago
WILL GIVE BRAINLIEST!! PLEASE ANSWER ASAP
krok68 [10]
My answer would be (0,5) because that seems to be where this scatter plot starts.

Hope this helps!
7 0
2 years ago
Other questions:
  • Is <br> Angel 1: 60 and angle 2: 30 a complementary angle
    15·2 answers
  • A 12-oz can of soda pop costs eighty-nine cents. a 2.00 l bottle of the same variety of soda pop costs $2.29. how many times mor
    6·1 answer
  • What is the solution to the equation 1/2n=7
    13·2 answers
  • What is -x^2+ 13x - 42 factored​
    15·1 answer
  • Plese can you help for this questiong 887+326-
    9·1 answer
  • Plsss help ASAP thxs
    11·2 answers
  • Give the coordinates for the reflection of Rectangle MNOP with vertices M(-2, 6), N(2,8), O(5,2), and P(1, 0) across the line y
    15·2 answers
  • Write 3 and16/25 as a percent
    13·1 answer
  • Slope=-4, y-intercept=-5
    8·1 answer
  • The elgebaric expression for 5y to the product of a and b.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!