Bonsoir :)
[tex]a.\ x^{2}+10x+25=0\\x^{2}+2\times x\times5+5^{2}=0\\(x+5)^{2}=0\\\boxed{\bf{x=-5}}[/tex]
[tex]b.\ \frac{7x}{x-3}+4=0\\\frac{7x}{x-3}=-4\\7x=-4(x-3)\\7x=-4x+12\\11x=12\\\boxed{\bf{x=\frac{11}{12}}}[/tex]
[tex]c.\ x^{2}=16\\x=+/-\sqrt{16}\\\boxed{\bf{x=4\ ou\ x=-4}}[/tex]
[tex]d.\ (x+1)^{2}=9\\(x+1)^{2}-9=0\\(x+1)^{2}-3^{2}=0\\((x+1)+3)((x+1)-3)=0\\(x+4)(x-2)=0\\\boxed{\bf{x=-4\ ou\ x=2}}[/tex]
[tex]e.\ \sqrt{x}=7\\x=7^{2}\\\boxed{\bf{x=49}}[/tex]
[tex]f.\ \frac{(3x+2)(x-2)}{5x-10}=0\\\frac{(3x+2)(x-2)}{5(x-2)}=0\\\frac{(3x+2)}{5}=0\\\frac{3}{5}x+\frac{2}{5}=0\\\frac{3}{5}x=-\frac{2}{5}\\x=-\frac{2}{5}\times\frac{5}{3}\\\boxed{\bf{x=-\frac{2}{3}}}[/tex]
N'hésite pas pour des questions!
Bonne soirée ;)
