Kaila_111697
x^2 + 4=104
what is x? There will be a positive and negative number.
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John_ES
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\[x^2=104-4=100\Rightarrow x^2=100\Rightarrow x=\pm\sqrt{100}=\pm10\]
Kaila_111697
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I am so confused
Directrix
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x^2 + 4=104
Subtract 4 from both sides.
x^2 = 100
What number times itself is equal to 100?
@Kaila_111697
Directrix
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Post what you think it is.
Kaila_111697
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10
Directrix
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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
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@Kaila_111697 That is correct. What about the negative number.
Kaila_111697
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But it is not 100 its 104
surjithayer
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x^2+4=104
x^2=104-4=100
x=sqrt100=\[\pm10\]
Directrix
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@Kaila_111697
Look at the equation: x^2 + 4=104
We subtracted the 4 from both sides to get x^2 = 100.
Kaila_111697
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oh so 10 and -10
Directrix
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But 10 satisfies the equation: x^2 + 4=104 because 10*10 + 4 = 100 +4.
Directrix
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>>oh so 10 and -10
Yes.
Kaila_111697
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Thank you so much
Directrix
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Glad to help.