(3x+7y)²=10y
(3x+7y)²=10x
10x=10y
(3x+7y)²=10x
y=x
(3x+7x)²=10x
y=x
(10x)²=10x
y=x
100x²-10x=0
y=x
10x(10x-1)=0
x₁=0 y₁=0
<span>x₂=1/10 y₁=1/10</span>
A⁴ - 2a²c⁵ + c¹⁰ = ( a² - c⁵)² = (a² - c⁵)(a² - c⁵)
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Применим формулу квадрата суммы:
![{(a + b)}^{2} = {a}^{2} + 2ab + {b}^{2} \\](https://tex.z-dn.net/?f=+%7B%28a+%2B+b%29%7D%5E%7B2%7D++%3D++%7Ba%7D%5E%7B2%7D++%2B+2ab+%2B++%7Bb%7D%5E%7B2%7D++%5C%5C+)
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![{(1.6 + 0.3a)}^{2} = {(1.6)}^{2} + 2 \times 1.6 \times 0.3a + {(0.3a)}^{2} = \\ \\ = 2.56 + 0.96a + 0.09 {a}^{2} \\](https://tex.z-dn.net/?f=+%7B%281.6+%2B+0.3a%29%7D%5E%7B2%7D++%3D++%7B%281.6%29%7D%5E%7B2%7D++%2B+2+%5Ctimes+1.6+%5Ctimes+0.3a+%2B++%7B%280.3a%29%7D%5E%7B2%7D++%3D++%5C%5C++%5C%5C++%3D+2.56+%2B+0.96a+%2B+0.09+%7Ba%7D%5E%7B2%7D++%5C%5C+)
<em>Решение прикреплено. Удачи </em>