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obert are each trying to solve the equation x^(2)-10 x+26=0. They kn 0x^(2)=-1 are i and -i, but they are not sure how to use this informat

obert are each trying to solve the equation x2−10x+26=0 x^{2}-10 x+26=0 . They kn \mathrm{kn} 0x2=−1 0 x^{2}=-1 are i i and −i -i , but they are not sure how to use this informat

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Q. obert are each trying to solve the equation x2−10x+26=0 x^{2}-10 x+26=0 . They kn \mathrm{kn} 0x2=−1 0 x^{2}=-1 are i i and −i -i , but they are not sure how to use this informat
  1. Identify roots: Identify the roots of the equation.\newlineGiven roots are ii and −i-i.
  2. Form equation: Use the roots to form the equation.\newlineThe equation can be written as (x−i)(x+i)=0(x - i)(x + i) = 0.
  3. Expand equation: Expand the equation.\newline(x−i)(x+i)=x2−i2=x2+1(x - i)(x + i) = x^2 - i^2 = x^2 + 1 (since i2=−1i^2 = -1).

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