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Alenkinab [10]
4 years ago
9

Solve x2 + 4x − 4 = 0.

Mathematics
2 answers:
Paraphin [41]4 years ago
6 0
Is the picture relevant?

0 = x^2 + 4x - 4

We know numbers that multiply to -4 are:
4 -1 , -4 1
2 -2 , -2, 2
We know that none of these sum to +4
So it cannot be a ()()

It must be = (x+2)^2 - 8
I jumped ahead cause I really couldn't be bothered explaining more.
kkurt [141]4 years ago
5 0
For this, you can use the quadratic formula.
-b+_(b^2-4ac)^0.5
x= ----------------------------
2a

Now we get the variables a, b, and c from this equation:
Ax^2+bx+c=0
Now if you want an explanation of how that equation works, I will derive and explain it for you if you let me know you want me too.


x^2+4x-4=0
Ax^2+bx+c=0
So the variables a,b, and c stand for the coefficients infringed of each x.
So if we combine the two equations, we find that:
a=1
b=4
c=-4

Now that we have only one unknown variable (aka variable (x)), we can substitute the numbers into the quadratic equation.

-4+_(4^2-4*1*(-4))^0.5
x= ----------------------------------
(2*1)

x=-4+_(16+16)^0.5
----------------------
2

x=-4+_(32)^0.5
----------------------
2

x=-4+_4(2)^0.5
----------------------
2
x=-2+_2(2)^0.5

This is your answer. If you have any questions, feel free to ask. I'll try to stay on as long as I can. I know these problems a fairly to grasp.
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I ran 8kilometers in 20 minutes that cost me $10 how many miles would it be if cost is $30
Nata [24]

Answer:

14.91288  miles

Step-by-step explanation:

We can use a proportion to solve this problem.  Put the distance over the cost.  We want our answer in miles so we need to convert 8 kilometers to miles.   1 km = .621371 miles

8 km * .621371 miles/ 1 km = 4.971 miles


4 .971 miles          x miles

--------------------- = ------------------

10 dollars               30 dollars


Using cross products

4.971 * 30 = 10x

149.1288= 10 x

Divide by 10 on each side

149.1288/10= 10/10 x

14.91288 =x


6 0
3 years ago
What is 206 percent converted into fraction
Varvara68 [4.7K]
p\%=\dfrac{p}{100}\\\\206\%=\dfrac{206}{100}=\dfrac{206:2}{100:2}=\dfrac{103}{50}=\dfrac{100+3}{50}=\dfrac{100}{50}+\dfrac{3}{50}=2\dfrac{3}{10}\\\\Answer:\boxed{206\%=\frac{103}{50}=2\frac{3}{50}}
8 0
4 years ago
Read 2 more answers
Which distance measures 7 units? A number line going from negative 8 to positive 8. A closed circle appears at negative 7 and is
kramer

Answer:

the distance between points M and P

Step-by-step explanation:

JUST TOOK THE TEST

6 0
3 years ago
Read 2 more answers
A tennis racket normally costs ​$60. The tennis racket is on sale for 30​% off. What is the sale price of the tennis​ racket?
hram777 [196]
The answer would be 42 and here’s how:)

so to start it would be written as this.
___=30% x 60

meaning what equals 30% of 60.

= means is
x means of
___ means what

•so for example if you have this question written out, it would be - what is 30% of 60, and that would turn into the first equation by a substitution method.
• then you have to put the 30% as a decimal. (0.3)
now the equation looks like this.
___=0.3 x 60
• then you would turn it around so it’s 0.3 x 60=

now the answer to that equation is 18.
• so now you have to take the original 60, and subtract the answer amount of 18.

that would look like this. 60-18=___
the answer to that is 42! and there’s your answer! hope it helped!


8 0
3 years ago
TRUE OR FALSE: FOR ANY FUNCTION, X=F^-1(Y), THEN Y=F(X). PLEASE EXPLAIN
Vesnalui [34]

Answer:

True.

Step-by-step explanation:

For example let f(x) = 3x + 1  then f-1(x)  is found as follows

Let f(x) = y = 3x + 1 then

3x = y - 1

x = (y-1) / 3

x = f-1(x) = (x - 1)/3.

So:

Replacing the x  in y by (x - 1)/3 :-

x = f(-1)(y) = ( (3x + 1) - 1) / 3

= 3x / 3

= x.

So y = f(x).

7 0
3 years ago
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