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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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3 years ago
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She worked a total of 15 hours. If she makes $15 per hour tutoring and $9 per hour at the grocery store and made a total of $159
Ugo [173]

Answer:

11 hours she worked at the grocery store

Step-by-step explanation:

assuming,

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the number of hours worked at grocery store = y

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<em>total number of hours</em>

1) x+y= 15  

<em>total amount she earned</em>

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<em>we place y=11 in our derived x equation</em>

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