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
jolli1 [7]
3 years ago
11

To solve by completing the square, what needs to be moved in this equation?

Mathematics
1 answer:
Elza [17]3 years ago
7 0

Answer:

To complete the square, we need to have the equation set up like this:

x^2 +4x =9

To do that, we'd need to move the 4x to the left side producing

4x + x^2 = 9

And that can be rewritten as

x^2 +4x =9

So the term that needs to be moved is -4x

https://www.1728.org/quadr2.htm

Step-by-step explanation:

You might be interested in
Find all real zeros of 4x^3-20x+16
Pani-rosa [81]

Answer:

  {1, (-1±√17)/2}

Step-by-step explanation:

There are formulas for the real and/or complex roots of a cubic, but they are so complicated that they are rarely used. Instead, various other strategies are employed. My favorite is the simplest--let a graphing calculator show you the zeros.

___

Descartes observed that the sign changes in the coefficients can tell you the number of real roots. This expression has two sign changes (+-+), so has 0 or 2 positive real roots. If the odd-degree terms have their signs changed, there is only one sign change (-++), so one negative real root.

It can also be informative to add the coefficients in both cases--as is, and with the odd-degree term signs changed. Here, the sum is zero in the first case, so we know immediately that x=1 is a zero of the expression. That is sufficient to help us reduce the problem to finding the zeros of the remaining quadratic factor.

__

Using synthetic division (or polynomial long division) to factor out x-1 (after removing the common factor of 4), we find the remaining quadratic factor to be x²+x-4.

The zeros of this quadratic factor can be found using the quadratic formula:

  a=1, b=1, c=-4

  x = (-b±√(b²-4ac))/(2a) = (-1±√1+16)/2

  x = (-1 ±√17)2

The zeros are 1 and (-1±√17)/2.

_____

The graph shows the zeros of the expression. It also shows the quadratic after dividing out the factor (x-1). The vertex of that quadratic can be used to find the remaining solutions exactly: -0.5 ± √4.25.

__

The given expression factors as ...

  4(x -1)(x² +x -4)

5 0
3 years ago
Read 2 more answers
What is the HCF of 27 and 42​
hichkok12 [17]
Answer: 3

Explanation:

27 = 3^3
42 = 2 x 3 x 7

So the HCF of (27,42) = 3
6 0
3 years ago
I need help thank you
Svetllana [295]

Answer:

there is no question lol but i am here to help anyway

Step-by-step explanation:

3 0
3 years ago
5x - 4y + 8 ; x = 8 , y = 2.5
Mice21 [21]
It’s 38 :) I hope it helps
8 0
3 years ago
Read 2 more answers
Which of the following is not a perfect square?<br> A. 36<br> B. 45<br> C. 64<br> D. 81 ...?
Dmitriy789 [7]
In your question, 45 is not a perfect square.
A perfect square is when you divide or multiply the number by itself.
36 is a perfect square because it's factor is 6 x 6 (6,6).
<span>64 is a perfect square because it's factor is 8 x 8 (8,8).
</span><span>81 is a perfect square because it's factor is 9 x 9 (9,9).</span>
5 0
3 years ago
Other questions:
  • A total of 300 trees will be planted in a park, for every two pine trees there will be 3 maple trees what is the number of pine
    7·1 answer
  • Write the equation of a line that includes the point (4, –2) and has a slope of 0 in slope-intercept form.
    9·1 answer
  • If the height of the rectangle is 12 ft and the area is 72 ft what is the base of the rectangle
    14·2 answers
  • How do you know what number fits in the equations? like this one: Y=7/2x-2
    10·1 answer
  • How doing this this. the homework the my daughter ​
    12·2 answers
  • Which expression is equivalent to 14x – 21?
    14·1 answer
  • A test of abstract reasoning is given to a random sample of students before and after they completed a formal logic course. The
    9·1 answer
  • Consider the following information related to a set of quantitative sample data:
    5·1 answer
  • If you have a pair of dice and roll one die, what is the probability of rolling an even number? write your answer as a decimal.
    5·2 answers
  • The number of siblings each student at a softball game has is recorded. The graph below shows the probability distribution of ha
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!