ОДЗ
\left \{ {{5x\leq35} \atop {2x \leq 9}} \right.<=> \left \{ {{x\leq7} \atop {x \leq 4,5}} \right.\\\ \\\
(- \infty; 4,5]" alt=" \left \{ {{35-5x \geq 0} \atop {9-2x \geq 0}} \right. <=> \left \{ {{5x\leq35} \atop {2x \leq 9}} \right.<=> \left \{ {{x\leq7} \atop {x \leq 4,5}} \right.\\\ \\\
(- \infty; 4,5]" align="absmiddle" class="latex-formula">
![\sqrt{35-5x}+2x=9\\\
\sqrt{35-5x}=9-2x\\\
(\sqrt{35-5x})^2=(9-2x)^2\\\
35-5x=81-36x+4x^2\\\
4x^2-31x+46=0\\\
D=961-736=225\\\
x_1=\frac{31+15}{8}=5\frac{3}{4}\\\
x_2=\frac{31-15}{8}=2](https://tex.z-dn.net/?f=%5Csqrt%7B35-5x%7D%2B2x%3D9%5C%5C%5C%0A%5Csqrt%7B35-5x%7D%3D9-2x%5C%5C%5C%0A%28%5Csqrt%7B35-5x%7D%29%5E2%3D%289-2x%29%5E2%5C%5C%5C%0A35-5x%3D81-36x%2B4x%5E2%5C%5C%5C%0A4x%5E2-31x%2B46%3D0%5C%5C%5C%0AD%3D961-736%3D225%5C%5C%5C+%0Ax_1%3D%5Cfrac%7B31%2B15%7D%7B8%7D%3D5%5Cfrac%7B3%7D%7B4%7D%5C%5C%5C%0Ax_2%3D%5Cfrac%7B31-15%7D%7B8%7D%3D2%0A%0A "\sqrt{35-5x}+2x=9\\\
\sqrt{35-5x}=9-2x\\\
(\sqrt{35-5x})^2=(9-2x)^2\\\
35-5x=81-36x+4x^2\\\
4x^2-31x+46=0\\\
D=961-736=225\\\
x_1=\frac{31+15}{8}=5\frac{3}{4}\\\
x_2=\frac{31-15}{8}=2")
x₁ не удовлетворяет ОДЗ
Ответ 2