Answer:
[tex]1.10 {x}^{2} - 13x - 3 = 0 \\ product \: = 10 \times - 3 \\ = - 30 \\ sum \: = 13 \\ factors \: = ( - 15 \: \: 2) \\ 10 {x}^{2} - 15x + 2x - 3 = 0 \\ 5x(2x - 3) + 1(2x - 3) = 0 \\ (5x + 1)(2x - 3) = 0 \\ either \: 5x + 1 = 0 \\ 5x = - 1 \\ x = - \frac{1}{5} \\ or \: 2x - 3 = 0 \\ 2x = 3 \\ x = \frac{3}{2} \\ x = 1.5 \\ 2. {x}^{2} - 2x + 1 = 0 \\ product \: = 1 \\ sum \: = - 2 \\ factors \: ( - 1 \: - 1) \\ {x}^{2} - x - x + 1 = 0 \\ x(x - 1) - 1(x - 1) = 0 \\ (x - 1)(x - 1) = 0[/tex]
Step-by-step explanation:
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