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
irina1246 [14]
3 years ago
7

What equation reoulte from completing the square and then factoring? x2 + 4x-5

Mathematics
1 answer:
tangare [24]3 years ago
3 0

Answer:

Completing the square: (x^2+4x)-5=0

Factored form: (x+5)(x-1)=0

Step-by-step explanation:

1.

Completing the square is a method used to rewrite a quadratic equation in vertex form. First one groups the linear and the quadratic terms. Then one will factor out the coefficient of the quadratic term. After doing so, one makes the grouped equation a perfect square trinomial by introducing a term, don't forget to balance the equation. Finally one simplifies the equation. The result is a quadratic equation in vertex form.

The quadratic equation:

x^2+4x-5=0

Group the linear and quadratic terms:

(x^2+4x)-5=0

The quadratic term doesn't have a coefficient, so one doesn't need to factor the group. Now, one has to add a term to make the group a perfect square trinomial. Remember to balance the equation:

(x^4+4x-4)-5-4=0

Simplify,

(x-2)^2-9=0

2.

Factoring a quadratic equation is a method of rewriting a quadratic equation as the product of two linear equations. One splits the constant term up into factors, such that the sum of the factors is equal to the coefficient of the linear term.

x^2+4x-5=0

Factor:

(x+5)(x-1)=0

You might be interested in
I WILL GIVE BRAINLIEST!!!! PLZ HELPS ASAP!!!
Phantasy [73]

Answer:

x = xi + delta x

-2+1 = -1

y = yi + delta y

-5+3 = -2

(-1,-2)

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Evaluate : f(x) = x^2 - 2x + 1 , x = 3
den301095 [7]

Answer:

4

Step-by-step explanation:

3^2=9

-2 times 3 = -6

9-6+1=4

8 0
3 years ago
Volume? Correct answers please
goldfiish [28.3K]

Answer:

V = 1385.44

Step-by-step explanation:

The equation for volume is V = π r 2 h! Where V = volume, r = radius <em>(half the diameter)</em>, and h = height. Now lets substitute what we know into this equation!

<em>Since we are giving the diameter (14) we must divide by 2 to find the radius.</em>

                         14 ÷ 2 = 7

Radius = 7

Height = 9

V = ?

Time to plug these values in!

V = π 7^{2} (9)

<em>We have to distribute </em><em>pi to 7 square that term </em><em>and then </em><em>multiply the value by 9</em><em>. </em>

<em />

V = 1385.44

Hope this Helps! :)

<em>Have any questions? Ask below in the comments and I will try my best to answer.</em>

-SGO

7 0
3 years ago
Solve the equation<br> -6.8w = 3.4
Westkost [7]

Answer:

-6.8w = 3.4

divide both side by -6.8

the left side become w

and the right side become - 0.5

so

w = -0.5

3 0
3 years ago
Which graph indicates decreasing speed?<br> A. Graph c<br> B Graph A <br> c graph F<br> d graph
Bas_tet [7]
I think that it would be option A. Graph C. It shows the line going down from the y-axis to the x-axis, so it would be graph C.
6 0
3 years ago
Other questions:
  • Solve the equation by elimination
    14·1 answer
  • The perimeter of a rectangular garden is 166 feet.The length of the garden is 3 feet more than four times the width. Which syste
    5·1 answer
  • 11. Peter wants to go to dinner and the movies with his friends. He is going to pay with his credit card because he doesn't have
    15·1 answer
  • Which of the following will generate a graph that is 3 units to the left of y = x3?
    9·1 answer
  • Use the substitution method to solve the system of equations. Choose the correct ordered pair.
    8·2 answers
  • Sales tax calculated as a percentage of the sales price. If sales tax is 7%, what is the sales tax on clothing that costs $150?
    11·2 answers
  • Please answer all, thank you☺️
    11·1 answer
  • What are the domain, range, and asymptote of h(x) = (1.4)^x + 5?
    5·2 answers
  • Roberta needs 12 zippers to make 3 of the same backpacks. If Roberta has 48 zippers, how many of those same backpacks can she ma
    9·1 answer
  • Fast first gets brainliest Part A<br> Write an equation for each line.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!