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
Zina [86]
2 years ago
13

Find all solutions to 0= 2x^4+5x^3+38x^2+125x-300

Mathematics
1 answer:
Mariana [72]2 years ago
3 0
2x^4+5x^3+38x^2+125x-300=0\\\\2x^4+5x^3-12x^2+50x^2+125x-300=0\\\\x^2(2x^2+5x-12)+25(2x^2+5x-12)+0\\\\(2x^2+5x-12)(x^2+25)=0\\\Updownarrow\\1^o\ 2x^2+5x-12=0\ \vee\ 2^o\ x^2+25=0\\\\\\1^o\ \Delta=5^2-4\cdot2\cdot(-12)=25+96=121\\\\\sqrt\Delta=\sqrt{121}=11\\\\x_1=\frac{-5-11}{2\cdot2}=\frac{-16}{4}=-4;\ x_2=\frac{-5+11}{2\cdot2}=\frac{6}{4}=\frac{3}{2}\\\\\\2^o\ x^2=-25-false\\\\\\Answer:x=-4\ or\ x=\frac{3}{2}
You might be interested in
Test 1. Give the appropriate factoring technique and factors of the following polynomials.
shutvik [7]
1) 5t^2 (1 + 6t)
2) 4x^3y^5 (5x + 2y)
3) (5r + 6x)(5r - 6x)
4) (x + 10)(x - 10)
5) (x - 3)^2
6) (x -5)(x - 3)
7) 3(16r^3 + 9)
8) 8(c^3 + 8d^3)
9) (2r - 125)(4r^2 + 250r + 15625)
10) (c + 3)(c - 1)
3 0
2 years ago
I’ll give brainliest if u explain how to do those 3 no links plz:)
seraphim [82]

31.93

u low key cute too

4 0
2 years ago
Read 2 more answers
The function Q(x)=2x^2-kx+18. For what value of k does Q(x) have one distinct real solution? (NEEDS TO BE DONE WITHIN 2 HOURS!)
Aliun [14]

Answer:

k = 12

Step-by-step explanation:

Given:

The equation Q(x)=2x^2-kx+18

To find:

Value of k = ? for which the given equation has one distinct real solution.

Solution:

The given equation is a quadratic equation.

There are always two solutions of a quadratic equation.

For the equation: ax^{2} +bx+c=0 to have one distinct solution:

b^2 - 4ac = 0

Here,

a = 2,

b = -k and

c = 18

Putting the values, we get:

(-k)^2 - 4\times 2\times 18 = 0\\\Rightarrow k^2 = 18\times 8\\\Rightarrow k^2 =144\\\Rightarrow k = 12

The equation becomes:

Q(x)=2x^2-12x+18

And the one root is:

2(x^2-6x+9 ) = 0\\\Rightarrow 2(x-3)^2=0\\\Rightarrow x = 3

4 0
2 years ago
A² +6²<br> a-b<br> if a = 3 and b = 4<br> Evaluate each expression using the variable replacements.
Arturiano [62]
Knowing what the variables are means that all we have to do is substitute:
[ ( 3 ) ^2 + ( 4 ) ^2 ] / 4 - 3 =
( 9 + 16 ) / 1 =
25
3 0
2 years ago
Read 2 more answers
Which of the ways of getting information listed below is an unblased sampling method
BigorU [14]

Answer:

hmmmm I don't know It really depends on the person who is writing it

Step-by-step explanation:

but if you really want to know most people have different ways of telling people how they got to their answer

4 0
2 years ago
Other questions:
  • Identify <br> (y-3)^2=8(x+1)
    10·1 answer
  • mrs presley makes one costume in 2 hours and 13 minutes. how long will it take her to make 6 costumes for a school play?
    5·1 answer
  • Please help, I've been trying for an hour and I don't know how to set up this problem.
    13·1 answer
  • Katherine is working two summer jobs, making $16 per hour lifeguarding and making $6 per hour walking dogs. In a given week, she
    6·1 answer
  • 7236 by 25 7236 divided by 25
    6·2 answers
  • 4) Chelsea has homework in six subjects.<br> She is deciding what order to complete<br> them in
    11·1 answer
  • The number of pets is shown for houses on four different streets. Which data set fits a normal distribution curve?
    10·1 answer
  • Please answer and explain asap​
    12·2 answers
  • La derivada de f(x)=3x^2-5x+2
    8·2 answers
  • NO LINKS!!!!
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!