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
Bingel [31]
3 years ago
9

Which are the solutions of x^2 = –11x + 4?

Mathematics
1 answer:
strojnjashka [21]3 years ago
3 0

This is a quadratic equation, i.e. an equation involving a polynomial of degree 2. To solve them, you must rearrange them first, so that all terms are on the same side, so we get

x^2 + 11x - 4 = 0

i.e. now we're looking for the roots of the polynomial. To find them, we can use the following formula:

x_{1,2} = \frac{-b\pm\sqrt{b^2-4ac}}{2}

where x_{1,2} is a compact way to indicate both solutions x_1 and x_2, while a,b,c are the coefficients of the quadratic equation, i.e. we consider the polynomial ax^2+bx+c.

So, in your case, we have a=1,\ \ b=11,\ \ c=-4

Plug those values into the formula to get

x_{1,2} = \frac{-11\pm\sqrt{121+16}}{2} = \frac{-11\pm\sqrt{137}}{2}

So, the two solutions are

x_1 = \frac{-11+\sqrt{137}}{2}

x_2 = \frac{-11-\sqrt{137}}{2}

You might be interested in
Translate point R located at (-6,-8) -4 in the x-direction and -2 in th y-direction
Troyanec [42]
((-6-4),(-8-2))

(-10,-10)
8 0
3 years ago
Convert the following equation to slope-intercept form y+5=1/2(x-8)
alexandr402 [8]

Answer: y = 1/2x - 9

Step-by-step explanation:

  • y + 5 = 1/2(x - 8)
  • y + 5 = 1/2x - 4 (distribute)
  • y = 1/2x - 9 (subtract 5 from both sides)

4 0
2 years ago
4x-2y=14
Blababa [14]
4x - 2y = 14
y = 0.5x -1

Get just one variable on one side for both equations.

4x - 2y = 14 ⇒ 4x = 2y + 14 ⇒ 4x - 14 = 2y
y = 0.5x - 1 ⇒ x - 2 = 2y

Use the transitive property and then solve for x.

x-2 = 4x-14
12 = 3x
x = 4

<em>Edit: Apprently I didn't use substitution. Oops! Sorry...</em>
4 0
3 years ago
Read 2 more answers
Find the power of 1.4 times 3??
Akimi4 [234]

Answer: 1.4 x 3 = 4.2

Step-by-step explanation:

1 x 3 = 3

.4 x 3 = 1.2

3 + 1.2 = 4.2

8 0
3 years ago
Read 2 more answers
3 and 1/3 +[-2 and 1/4]+1 and 5/6
IceJOKER [234]

Answer: Hi, for these type of questions I can help you! I

Step-by-step explanation: hi, my answers are  correct but wont always give you a 100%. for any questions contact me and my legal team!

7 0
3 years ago
Other questions:
  • I need some help with solving inequalitys 9x-9 greater thab or equal to 2(8x-15)
    9·1 answer
  • the greatest of four consecutive even integers is 14 less than twice the smallest integer. what are the integers​
    7·1 answer
  • Acute triangles are similar. Always Sometimes Never
    12·2 answers
  • Translate into Algebra.
    15·1 answer
  • Assuming that $3u + 12v\neq0$, simplify $\dfrac{12u^3 + 48u^2v}{3u+12v}$.
    9·1 answer
  • Before simplifying, there are 4 terms in the expression. <br> is this true or false?
    13·1 answer
  • Can someone Find X and Y
    10·1 answer
  • Day Care Tuition A random sample of 50 four-year-olds attending day care centers provided a yearly tuition average of $3987 and
    6·1 answer
  • Christian is starting his own business and last week it cost him $10.38 to ship 6 pounds of merchandise to his customers. His bu
    13·2 answers
  • Complete the pattern by identifying the next three terms:<br><br> 10, 6, 2, −2,
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!