Question

Ayudaaa xfavorrrrrrrr ;(

Answer 1

$a) \: (x - 3) {}^{3} - 20 = 105 \\ (x - 3) {}^{3} = 105 + 20 \\ (x - 3) {}^{3} = 125 \\ x - 3 = \sqrt[3]{125} \\ x - 3 = 5 \\ x = 5 + 3 \\ x = 8$

$b) \: \sqrt{9(x - 1)} = 54 \div 6 \\ \sqrt{9(x - 1)} = 9 \\ 9(x - 1) = {9}^{2} \\ 9 (x - 1) = 81 \\ (x - 1) = \frac{81}{9} \\ x - 1 = 9 \\ x = 9 + 1 \\ x = 10$

$c) \: {x}^{3} + 4 \times 12 = {4}^{2} \times 10 - 104 \\ {x}^{3} + 48 = 160 - 104 \\ {x}^{3} + 48 = 56 \\ {x}^{3} = 56 - 48 \\ {x}^{3} = 8 \\x = \sqrt[3]{8} \\ x = 2$

$d) \: 4 \times 100 - 21 + \sqrt{x} = 13 \times 30 \\ 400 - 21 + \sqrt{x} = 390 \\ 379 + \sqrt{x} = 390 \\ \sqrt{x} = 390 - 379 \\ \sqrt{x} = 11 \\ x = {11}^{2} \\ x = 121$