1.

U-0***ii) Factorize: (x² - 6x)2 -8(x² - 6x +8) - 64​

Answer»

( {x}^{2} - 6x)2 - 8( {x}^{2} - 6x + 8) - 64 = 0\\ 2 {x}^{2} - 12x - 8 {x}^{2} + 48x - 64 - 64 = 0\\ - 6 {x}^{2} + 36x - 128 = 0 \\ 3 {x}^{2} - 18x + 64 = 0 \\

SOLVING this with the formula

x = \frac{−b ± \sqrt{ ( {b}^{2} − 4ac)}}{2a}

you will GET

x = 3 ±i \sqrt{ \frac{37}{3} }


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