Answer:
10. -2, -⅕ = x
9. -8, 5 = x
8. -12, 5 = x
7. -5, 6 = x
Step-by-step explanation:
10. [tex]5{x}^{2} + 11x + 2 = 0 \\ \\ (5{x}^{2} + x) + (10x + 2) = 0 \\ x(5x + 1) + 2(5x + 1) \\ \\ (x + 2)(5x + 1) = 0 \\ \\ -2, \: - \frac{1}{5} = x[/tex]
9.
[tex]2{x}^{2} + 6x - 80 = 0 \\ \\ (2{x}^{2} + 16x) - (10x - 80) = 0 \\ 2x(x + 8) -10(x + 8) = 0 \\ \\ (x + 8)(2x - 10) = 0 \\ \\ -8, \: 5 = x[/tex]
8.
[tex] {x}^{2} + 8x - 65 = x - 5 \:→ {x}^{2} + 7x - 60 \\ \\ ({x}^{2} - 5x) + (12x - 60) \\ x(x - 5) + 12(x - 5) \\ \\ (x + 12)(x - 5) = 0 \\ \\ 5, \: -12 = x[/tex]
7.
[tex] {x}^{2} = x + 30 → - {x}^{2} + x + 30 \\ \\ (-{x}^{2} - 5x) + (6x + 30) \\ -x(x + 5) + 6(x + 5) \\ \\ -(x - 6)(x + 5) = 0 \\ \\ -5, \: 6 = x[/tex]
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