1.

Solve each of the following quadratic equations: `4x^(2)-4a^(2)x+(a^(4)-b^(4))=0`

Answer» Correct Answer - `x=(a^(2)+b^(2))/(2)" or "x=(a^(2)-b^(2))/(2)`
`4x^(2)-4a^(2)x+(a^(4)-b^(4))=0implies4x^(2)-2(a^(2)+b^(2))x-2(a^(2)-b^(2))x+(a^(4)-b^(4))=0`
`implies" "2x[2x-(a^(2)-b^(2))]-(a^(2)-b^(2))[2x-(a^(2)+b^(2)]=0.`


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