Question

Зробіть 3,4 будь ласка , срочно , 15 балів !​

Answer 1

Ответ:

3. $p = 2;\ \ x_2 = 5.$

4. $c = \frac{9}{10};\ \ x_2 = \frac{3}{2}.$

Объяснение:

3. $x^2 + px - 35 = 0;\\\left \{ {{x_2 - 7= -p;} \atop {-7x_2=-35.}} \right. \Rightarrow \left \{ {{x_2=7 - p;} \atop {x_2 = 5.}} \right. \\\\7 - p = 5 \Rightarrow p = 7 - 5 = 2.\\x_2 = 5.$

4. $4x^2 - 9x + 5c = 0;\\\left \{ {{x_2 + \frac{3}{4} = \frac{9}{4};} \atop {\frac{3}{4}x_2 = \frac{5c}{4}.}} \right. \Rightarrow \left \{ {{x_2 = \frac{3}{2};} \atop {x_2=\frac{5c}{3}}.} \right. \\\\\frac{3}{2} = \frac{5c}{3} \Rightarrow 10c = 9 \Rightarrow c = \frac{9}{10}.\\x_2 = \frac{3}{2};$