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
marshall27 [118]
3 years ago
8

Solve for x in the equation x^2 + 4x - 4 = 8

Mathematics
2 answers:
olga nikolaevna [1]3 years ago
5 0

x^2+4x-4=8

Subtract 8 from both sides: x^2+4x-4-8=8-8

Simplify: x^2+4x-12=0

Solve with the quadratic formula: For a=1,b=4,c=-12: x1,2= -4+- (4^2-4*1(-12))sqrt over 2*1

x= 2 and x=-6

erik [133]3 years ago
3 0

Subtracting 8 from both sides of the equation gives

x^2 + 4x - 12 = 0

(x + 6)(x - 2)= 0

x = -6, 2   answer

You might be interested in
Is an angle that is greater than 90 degrees is acute True or False
Brilliant_brown [7]
Hey there!

The answer is false. A 90 degree angle is called a right triangle. Any angle less than 90 degree is called an acute angle. Any angle more than 90 degree is called an obtuse angle
7 0
3 years ago
Read 2 more answers
Topic: The Quadratic Formula
Finger [1]

Answer:

Step-by-step explanation:

The quadratic formula for a equation of form

ax²+bx + c = 0 is

x= \frac{-b +- \sqrt{b^2-4ac} }{2a}

For the first equation,

x²+3x-4=0,

we can match that up with the form

ax²+bx + c = 0

to get that

ax² =  x²

divide both sides by x²

a=1

3x = bx

divide both sides by x

3 = b

-4 = c

. We can match this up because no constant multiplied by x could equal x² and no constant multiplied by another constant could equal x, so corresponding terms must match up.

Plugging our values into the equation, we get

x= \frac{-3 +- \sqrt{3^2-4(1)(-4)} }{2(1)} \\= \frac{-3+-\sqrt{25} }{2} \\ = \frac{-3+-5}{2} \\= -8/2 or 2/2\\=  -4 or 1

as our possible solutions

Plugging our values back into the equation, x²+3x-4=0, we see that both f(-4) and f(1) are equal to 0. Therefore, this has 2 real solutions.

Next, we have

x²+3x+4=0

Matching coefficients up, we can see that a = 1, b=3, and c=4. The quadratic equation is thus

x= \frac{-3 +- \sqrt{3^2-4(1)(4)} }{2(1)}\\= \frac{-3 +- \sqrt{9-16} }{2}\\= \frac{-3 +- \sqrt{-7} }{2}\\

Because √-7 is not a real number, this has no real solutions. However,

(-3 + √-7)/2 and (-3 - √-7)/2 are both possible complex solutions, so this has two complex solutions

Finally, for

4x² + 1= 4x,

we can start by subtracting 4x from both sides to maintain the desired form, resulting in

4x²-4x+1=0

Then, a=4, b=-4, and c=1, making our equation

x=\frac{-(-4) +- \sqrt{(-4)^2-4(4)(1)} }{2(4)} \\= \frac{4+-\sqrt{16-16} }{8} \\= \frac{4+-0}{8} \\= 1/2

Plugging 1/2 into 4x²+1=4x, this works as the only solution. This equation has one real solution

7 0
3 years ago
Percy is filling a cylindrical tank with water. The tank is
Archy [21]

Answer:

B

Step-by-step explanation:

78x9=702

702/6=117 minutes.

7 0
3 years ago
Read 2 more answers
To factor 9x^2 - 4, you can first rewrite the expression as:
olga2289 [7]

Answer:

  C. (3x)^2 - (2)^2

Step-by-step explanation:

Each of the two terms is a perfect square, so the factorization is that of the difference of squares. Rewriting the expression to ...

  (3x)^2 - (2)^2

highlights the squares being differenced.

__

We know the factoring of the difference of squares is ...

  a^2 -b^2 = (a -b)(a +b)

so the above-suggested rewrite is useful for identifying 'a' and 'b'.

4 0
3 years ago
HELP WILL MARK YOU BRAINLIEST!!!
Vlad [161]

Answer:

<PQR=132°

plz mark me brainliest

3 0
3 years ago
Other questions:
  • 50% of all the cakes jenny baked were party cakes, 1/5 were fruit cakes and the remainder were sponge cakes. What percentage of
    11·1 answer
  • nora owns a food truck that sells tacos and burritos. Nora must sell at least 420 worth of tacos and burritos each day. write an
    6·1 answer
  • What is the length of the line segment between A(–5, 8) and B(7, 8)? (1 point) • 2 units • 3 units • 12 units • 13 units
    7·1 answer
  • Y=2x+8 and y= -2/3x. Identify the value of x that simultaneously satisfies both equations.
    13·1 answer
  • 16/ 1/2 - |-4| = 8+3
    10·1 answer
  • I need help .. so can somebody help me please ? what two number and get 10 and -24 ?
    13·2 answers
  • Which is correct equation , in slope intercept form , for the line described below?
    6·1 answer
  • Two sides of a triangular tile measure 4 inches and 6 inches. The length of the third side is either 7 inches or 10 inches. Whic
    6·2 answers
  • George paid a total of $10,000 for stock that was $5 per share. If he sold all his shares for $15,000, how much profit on each s
    6·1 answer
  • What is the domain and range of f(x)=3x-1?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!