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Question 1

Question 2

1. Переменная не имеет смысл при х=1

2.
$\frac{15 {x}^{6} {y}^{5} }{36 {x}^{3} {y}^{10} } = \frac{5 {x}^{3} }{12 {y}^{5} }$

3.
$\sqrt{ 6\frac{1}{4} } = \sqrt{ \frac{25}{4} } = \frac{5}{2} = 2.5$

4.
х²-12х+7=0
D=144-28=116=2√29
$x1 = \frac{12 - 2 \sqrt{29} }{2} = \frac{2(6 - \sqrt{29} ) }{2} = 6 - \sqrt{29} \\ x2 = \frac{12 + 2 \sqrt{29} }{2} = 6 + \sqrt{29}$
х1×х2=(6+√29)(6-√29)=36-29=7

5.
$( {y}^{4} ) ^{ - 5} \div {y}^{ - 18} = {y}^{ - 20} \div {y}^{18} = {y}^{ - 20 - ( - 18)} = {y}^{ - 2} = \frac{1}{ {y}^{2} }$

6.
$0.5 \sqrt{100c} - \sqrt{49c} = 0.5 \times 10 \sqrt{c } - 7 \sqrt{c} = - 2 \sqrt{c}$

7.
4х²-3х-1=0
D=9+16=25=5²
$x1 = \frac{3 - 5}{8} = \frac{ - 2}{8} - 0.25 \\ x2 = \frac{3 + 5}{8} = 1$

8.
$(\frac{m - 2}{m + 2} - \frac{m + 2}{m - 2} ) \div \frac{8m}{ {m}^{2} - 4} = - 1 \\ 1)\frac{m - 2}{m + 2} - \frac{m + 2}{m - 2} = \frac{ {(m - 2)}^{2} - {(m + 2)}^{2} }{ {m}^{2} - 4} = \frac{ {m}^{2} - 4m + 4 - {m}^{2} - 4m - 4}{ {m}^{2} - 4} = \frac{ - 8m}{ {m}^{2} - 4 } \\ \frac{ - 8m}{ {m}^{2} - 4 }\div \frac{8m}{ {m}^{2} - 4} = \frac{ - 8m( {m}^{2} - 4)}{8m( {m}^{2} - 4)} = - 1$

10.
$\sqrt{ {( \sqrt{14} - 3) }^{2} } - \sqrt{ {( \sqrt{14} + 4) }^{2} } = \sqrt{14 - 3 \sqrt{14} + 9} - \sqrt{14 + 4 \sqrt{14} + 16 } = \sqrt{23 - 3 \sqrt{14} } - \sqrt{30 + 4 \sqrt{14} }$

Question 3

самое огромное спасибо