x^2 + 4=104
Subtract 4 from both sides.
x^2 = 100
What number times itself is equal to 100?
@Kaila_111697
Directrix (directrix):
Post what you think it is.
OpenStudy (anonymous):
10
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Directrix (directrix):
If I had asked what number times itself equals 25, you would have said 5 because 5 times 5 equals 25.
Then, I would have said but there is also a negative number that you can multiply times itself and get 25. You would have said -5 because -5 times -5 = 25.
Directrix (directrix):
@Kaila_111697 That is correct. What about the negative number.
OpenStudy (anonymous):
But it is not 100 its 104
OpenStudy (anonymous):
x^2+4=104
x^2=104-4=100
x=sqrt100=\[\pm10\]
Directrix (directrix):
@Kaila_111697
Look at the equation: x^2 + 4=104
We subtracted the 4 from both sides to get x^2 = 100.
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OpenStudy (anonymous):
oh so 10 and -10
Directrix (directrix):
But 10 satisfies the equation: x^2 + 4=104 because 10*10 + 4 = 100 +4.