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Why i2 equals -1?

Updated: 9/16/2023
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14y ago

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Harley Cassin

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3y ago
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14y ago

That is the definition of i.

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Q: Why i2 equals -1?
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Solve this equation x2 - 8x plus 17 equals 0?

(4 ± i2) where i2 = -1


In imaginary numbers Since the symbol i squared equals negative 1 would negative i squared equal positive 1?

No.(-i)2= (-1 x i)2= (-1)2 x i2= 1 x i2= i2= -1but if it is written-i2Then= -i2= (-1) * i2= -1 * -1= 1


The reaction h2 g plus i2 g 2hi g has keq equals 0.15 at a certain temperature if h2 equals 0.01 i2 equals 0.02 and hi equals 0.03 what is true about this reaction?

B.The reaction will proceed to the left.C.More I2 will form.E.HI will be consumed.


What is the reciprocal of a plus bi if a2 plus b2 equals 1?

The reciprocal of a + bi is a - bi:1/(a + bi) since the conjugate is a - bi:= 1(a - bi)/[(a + bi)(a - bi)]= (a - bi)/[a2 - (b2)(i2)] since i2 equals to -1:= (a - bi)/(a2 + b2) since a2 + b2 = 1:= a - bi/1= a - bi


If x plus y equals -2 and xy equals 2 then what is x cubed plus y cubed?

x + y = -2 ∴ y = -2 - x xy = 2 ∴ x(-2 - x) = 2 ∴ -2x - x2 = 2 ∴ x2 + 2x + 2 = 0 ∴ x2 + 2x + 1 = -1 ∴ (x + 1)2 = -1 ∴ x + 1 = i ∴ x = i - 1 recall: y = - 2 - x ∴ y = - 2 - (i - 1) ∴ y = -2 - i + 1 ∴ y = - i - 1 ∴ x3 + y3 = (i - 1)3 + (- i - 1)3 = (i - 1)(i2 - 2i + 1) + (- i - 1)(i2 + 2i + 2) = i3 - 2i2 + i - i2 + 2i - 1 - i3 - 2i2 - 2i - i2 - 2i - 2 = i3 - i3 - 2i2 - i2 - 2i2 - i2 + i + 2i - 2i - 2i - 1 - 2 = -6i2 - i - 3 = 3 - i


H2g plus I2g 2hIg has keq equals 0.15 at a certain temperature if h2 equals 0.01 I2 equals 0.02 and hI equals 0.03 what is true about this reaction?

HI will be consumed. The reaction will proceed to the left. More I2 will form.


What is the balanced chemical equation for KI plus Cl2 equals KCl plus I2?

Cl2(g) + 2KI --> 2KCl(aq) + I2(s)


How do you compute x if x equals negative under root 2?

x=square root (-2) =i(square root of 2)WHERE i2 =-1


What is the charge of I2?

1-


How can you solve for resistance when given power?

Depends on the voltage. R equals V2/P . Or the current: R equals P/I2 .


What is the stoichiometric relationship between IO3- and I2?

The iodine content ratio of IO3- and I2 is 1 to 2


Can you square i?

Yes, i2=-1, by definition.