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
jeka94
2 years ago
8

Using the quadratic formula to solve x2 = 5 – X, what are the values of X?

Mathematics
1 answer:
anygoal [31]2 years ago
4 0

Answer:

A)\:x=\frac{-1\pm\sqrt{21}}{2}

Step-by-step explanation:

x^2=5-x

<u>Add x from both sides:</u>

\longmapsto x^2+x=5-x+x

\longmapsto x^2+x=5

<u>Subtract 5 from both sides:</u>

\longmapsto x^2+x-5=5-5

\longmapsto x^2+x-5=0

Now, we'll use the quadratic formula to solve this problem: x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

\longmapsto x_{1,\:2}=\frac{-1\pm \sqrt{1^2-4\times \:1\cdot \left(-5\right)}}{2\times \:1}

\longmapsto \sqrt{1^2-4\times \:1\times \left(-5\right)}

\longmapsto 1^2=1

\longmapsto \sqrt{1+4\times \:1\times \:5}

<u>Multiply 4*1*5= 20</u>

\longmapsto \sqrt{1+20}

<u>Add 1 and 20= 21</u>

\longmapsto \sqrt{21}

\longmapsto x_{1,\:2}=\frac{-1\pm \sqrt{21}}{2\times \:1}

\longmapsto x_1=\frac{-1+\sqrt{21}}{2\times \:1}

\longmapsto \frac{-1+\sqrt{21}}{2\times \:1}

<u>Multiply 2 and 1= 2</u>

\longmapsto \frac{-1+\sqrt{21}}{2}

\longmapsto x_2=\frac{-1-\sqrt{21}}{2\times \:1}

\longmapsto \frac{-1-\sqrt{21}}{2\times \:1}

<u>Multiply 2 and 1= 2</u>

\longmapsto \frac{-1-\sqrt{21}}{2}

\longmapsto x=\frac{-1+\sqrt{21}}{2},\:x=\frac{-1-\sqrt{21}}{2}

\hookrightarrow x=\frac{-1\pm\sqrt{21}}{2}

________________________

You might be interested in
Please help me look at the picture
harina [27]

The answer is choice A.

We're told that the left and right walls of the cube (LMN and PQR) are parallel planes. Any line contained in one of those planes will not meet another line contained in another plane. With choice A, it's possible to have the front and back walls be non-parallel and still meet the initial conditions. If this is the case, then OS won't be paralle to NR. Similarly, LP won't be parallel to MQ.

8 0
3 years ago
|3 + x| = 5<br> Solve for x
bearhunter [10]

Answer:

x = - 8 , x = 2

Step-by-step explanation:

the absolute value function always gives a positive result, however, the expression inside can be positive or negative, , that is

x + 3 = 5 ( subtract 2 from both sides )

x = 2

or

-(3 + x) = 5

- 3 - x = 5 ( add 3 to both sides )

- x = 8 ( multiply both sides by - 1 )

x = - 8

5 0
2 years ago
Read 2 more answers
Max's grade on the first math exam was a 94. His grade on his seond math exam was an 89. What was the percent of change in Max's
Tom [10]

We are given that

Max's grade on the first math exam was a 94

so, first exam grade =94

His grade on his seond math exam was an 89

so, second exam grade =89

change in grade=(first exam grade)-(second exam grade)

change in grade=94-89

change in grade=5

Percentage = ( change in grade)/( first exam grade) *100

so, percentage is

=\frac{5}{94}\times 100

so,

the percent of change in Max's grade to the nearest whole percentage was 5%..........Answer



5 0
3 years ago
Read 2 more answers
What is the factored form of the expression?Factor completely. 6x^4-9x^3-36x^2+54x
mario62 [17]
If we factorize the expression

6x^4-9x^3-36x^2+54x

We will get

3x(2x-3)(x^2-6)


Hope I helped!
8 0
3 years ago
Read 2 more answers
BRAINLIEST!!! +15 POINTS!!! REAL ANSWERS ONLY!!!
kramer

Answer:

1.

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Other questions:
  • Consider the function y=f(x)=3x. The values of f(12) and f(14), rounded to the nearest hundredth, are_______ and__________ , res
    6·2 answers
  • I need help solving this problem
    14·1 answer
  • Are opposite sides parallel in a cyclic quadrilateral ?
    7·1 answer
  • A force of 120 N is applied to an object that accelerates at a rate of 2 m/sec2. What is the mass of the object?
    13·1 answer
  • Tell me how to shade the area on the grid that shows 7/8x3/4
    13·2 answers
  • Is 9(3r-4) and 27r- 36 equivalent
    15·2 answers
  • I need help please <br>...... no linksssssssssss​
    5·1 answer
  • Convert 5 ounces into kilograms. Round your answer to the nearest hundredth.
    11·2 answers
  • Find a quadratic function that includes the set of values below.
    11·1 answer
  • Can you please help me ASAP
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!