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Subjects>Math>Math & Arithmetic

Why i2 equals -1?

Anonymous

∙ 15y ago

Updated: 9/16/2023

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That is the definition of i.

Wiki User

∙ 15y ago

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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

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

x + y = -2 &there4; y = -2 - x xy = 2 &there4; x(-2 - x) = 2 &there4; -2x - x2 = 2 &there4; x2 + 2x + 2 = 0 &there4; x2 + 2x + 1 = -1 &there4; (x + 1)2 = -1 &there4; x + 1 = i &there4; x = i - 1 recall: y = - 2 - x &there4; y = - 2 - (i - 1) &there4; y = -2 - i + 1 &there4; y = - i - 1 &there4; 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)

Sqare route of -1?

In math i=√(-1), in physics and engineering j=√(-1), and i2 or j2 =-1.

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Related Questions

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

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 &there4; y = -2 - x xy = 2 &there4; x(-2 - x) = 2 &there4; -2x - x2 = 2 &there4; x2 + 2x + 2 = 0 &there4; x2 + 2x + 1 = -1 &there4; (x + 1)2 = -1 &there4; x + 1 = i &there4; x = i - 1 recall: y = - 2 - x &there4; y = - 2 - (i - 1) &there4; y = -2 - i + 1 &there4; y = - i - 1 &there4; 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 balanced formula equation for chlorine plus potassium iodide equals potassium chloride plus iodine?

Cl2 + 2KI → 2KCl + I2

What is the stoichiometric relationship between IO3- and I2?

The stoichiometric relationship between IO3^- and I2 is 5:1. This means that for every one mole of IO3^- ions, five moles of I2 molecules are produced.

Can you square i?

Yes, i2=-1, by definition.

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?

This reaction is not at equilibrium yet since the reaction quotient, Q, is not equal to the equilibrium constant, K. In this case, Q = (0.03)^2 / ((0.01)*(0.02))^2 = 0.45, which is greater than K = 0.15. Therefore, the reaction will proceed in the reverse direction to reach equilibrium.

What is the charge of I2?

Iodine, I2, has a charge of 0 since it is in its elemental form and is a diatomic molecule. It does not have a net charge or ionic charge.

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