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
Goshia [24]
2 years ago
15

Solve the following equations: 5x-(x+2)^2=x^2-8+x

Mathematics
2 answers:
xxTIMURxx [149]2 years ago
6 0

Answer:

x =  \sqrt{2}  = 1.414 \\ x =  -  \sqrt{2}  =  - 1.414

Step-by-step explanation:

5x -  {(x + 2)}^{2}  =  {x}^{2}  - 8 + x \\ \\  5x - ( {x}^{2}  + 4x + 4) =  {x}^{2}  - 8 + x \\  \\ 5x -  {x}^{2}  - 4x - 4 =  {x}^{2}  - 8 + x \\  \\  -  {x}^{2}  + x - 4 =  {x}^{2}  - 8 + x \\  \\   {x}^{2}  +  {x}^{2}  + x - x = 8 - 4 \\  \\ 2 {x}^{2}  = 4 \\  \\  {x}^{2}  =  \frac{4}{2}  \\  \\  {x}^{2}  = 2  \\  \\ x =  \sqrt{2} = 1.414  \\ x =  -  \sqrt{2}  =  - 1.414

Blababa [14]2 years ago
3 0

Answer:

x = √2 = 1.414

Step-by-step explanation:

5x-(x+2)^2=x^2-8+x

since (x+2)^2 = x^2 + 2(x)(2) + 2^2 = x^2 + 4x + 4

so

5x - (x^2 + 4x + 4) = x^2 + x - 8

-x^2 + x - 4 = x^2 + x - 8

x^2 + x^2 + x - x = -4 + 8

2x^2 = 4

x^2 = 2

x = √2 = 1.414

You might be interested in
I need help please!!
luda_lava [24]

Answer:

2 remainder 5 ily

Step-by-step explanation:

5 0
3 years ago
Select the correct order for the following numbers. Numbers should be ordered from smallest to largest.
ss7ja [257]

Answer:

The answer is c, a, b, d

Step-by-step explanation:

5 0
3 years ago
Determine the value of c so that f(x) is continuous on the entire real line when
mixer [17]

Answer:

A. -4

Step-by-step explanation:

Given the function f(x) = x + 3 for x ≤ -1 and 2x - c for x > -1, for the function to be continuous, the right hand limit of the function must be equal to its left hand limit.

For the left hand limit;

The function at the left hand occurs at x<-1

f-(x) = x+3

f-(-1) = -1+3

f-(-1) = 2

For the right hand limit, the function occurs at x>-1

f+(x) = 2x-c

f+(-1) = 2(-1)-c

f+(-1) = -2-c

For the function f(x) to be continuous on the entire real line at x = -1, then

f-(-1) = f+(-1)

On equating both sides:

2 = -2-c

Add 2 to both sides

2+2 = -2-c+2

4 =-c

Multiply both sides by minus.

-(-c) = -4

c = -4

Hence the value of c so that f(x) is continuous on the entire real line is -4

6 0
3 years ago
40% of what number is 14
GenaCL600 [577]
14) You would put 14 over unknown is poportional to 40 over 100. Then multiply 14 by 100 then divide it by 40 to receive 35.
3 0
3 years ago
Why is 2 the only even prime number
Temka [501]

Answer:

<em>A prime number is a whole number greater than 1 whose only factors are 1 and itself</em>

two is the only even prime number because it is divisible by only two and one. All the other even numbers are not prime because they are all divisible by two.

3 0
3 years ago
Other questions:
  • What is the answer to this
    7·1 answer
  • Using your knowledge of circles, label the following on the given diagram: chord, tangent, radius, secant, point of tangency and
    5·1 answer
  • I need help I don't really understand this
    5·1 answer
  • One angle measures 54 more degrees than 3 times another angle. The angles are supplementary. What are their measures
    12·1 answer
  • Tell whether the square root of .25 is rational or irrational. Explain.
    14·1 answer
  • What is the answer to this problem?<br> 2 1/3 + 3 1/3 = ?
    15·2 answers
  • Plssss help for test
    11·1 answer
  • Find the midpoint of a line segment with endpoints at (-5,7) and (13, 13).
    8·1 answer
  • Which expression is equivalent to 8+20 ? A. 4(4+20) B.4(2+5) C.2(2+10) D. 2(6+18) Find the missing fac or in the given expressio
    11·1 answer
  • Help asap! Please! A 40 cm tomato plant cast a 25cm shadow. How tall is the corn stalk if it's shadow is 280cm long?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!