Question

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Answer 1

Ответ:

1)

${16x}^{2} - (4x - 5) {}^{2} = 15 \\ {16x}^{2} - ( {16x}^{2} - 40x + 25) = 15 \\ 16x {}^{2} - {16x}^{2} + 40x - 25 = 15 \\ 40x - 25 = 15 \\ 40x = 25 + 15 \\ 40x = 40 \\ x = 1$

2)

${64x}^{2} - {(3 - 8x)}^{2} = 87 \\ {64x}^{2} - (9 - 48x + {64x}^{2} ) = 87 \\ {64x}^{2} - 9 + 48x - {64x}^{2} = 87 \\ - 9 + 48x = 87 \\ 48x = 87 + 9 \\ 48x = 96 \\ x = 2$

3)

$- 5x(x - 3) + 5(x - 1) {}^{2} = - 20 \\ { - 5x}^{2} + 15x + 5(x {}^{2} - 2x + 1) = - 20 \\ { - 5x}^{2} + 15x + {5x}^{2} - 10x + 5 = - 20 \\ 5x + 5 = - 20 \\ 5x = - 20 - 5 \\ 5x = - 25 \\ x = - 5$

4)

$(2x - 3) {}^{2} - (2x + 3) {}^{2} = 12 \\ - 6 \times 4x = 12 \\ - 24x = 12 \\ x = - \frac{1}{2}$

Answer 2

Ответ:

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