[tex]\mathcal{ANSWER:}[/tex]
[tex]1. \: {x}^{2} - 12x + 35 = 0[/tex]
[tex](x - 5)(x - 7) = 0[/tex]
[tex] {{\boxed{x_{1} = 5 \: and \: x_{2} = 7 }}}[/tex]
[tex]2. \: {x}^{2} + 5x - 14 = 0[/tex]
[tex](x + 7)(x - 2) = 0[/tex]
[tex] {{\boxed{x_{1} = - 7 \: and \: x_{2} = 2 }}}[/tex]
[tex]3. \: {x}^{2} - 4x + 12 = 0[/tex]
[tex] {{\boxed{x_{1} = 2 + 2 \sqrt{2i} \: and \: x_{2} = 2 - 2 \sqrt{2i} }}}[/tex]
[tex]4. \: 4 {x}^{2} - 4x + 1 = 0[/tex]
[tex](2x - 1) {}^{2} = 0[/tex]
[tex] x = \frac{1}{2} [/tex]
[tex] {{\boxed{x = 0.5 \: and \: x = 2 {}^{ - 1} }}}[/tex]
[tex]5. \: 9 {x}^{2} - 72 = 0[/tex]
[tex] {{\boxed{ x_{1} = - 2 \sqrt{2} \: and \: x_{2} = 2 \sqrt{2} }}}[/tex]
#CarryOnLearning
[tex] \geqslant \leqslant [/tex]
