Question

(4x+1)2=5y(x+4)2=5y помагите

Answer 1

$\left \{ {{16 x^{2} +8x+1=5y} \atop { x^{2} +8x+16=5y}} \right.$
вычитаем
$15 x^{2} -15=0$
$15 x^{2} =15$
$x^{2} =1$
$x_1=1$
$x_2=-1$
1.$\left \{ {{x1=1} \atop {16* 1^{2}+8*1+1=5y}} \right.$
$\left \{ {{x_1=1} \atop {25=5y}} \right.$
$\left \{ {{x_1=1} \atop {y_1=5}} \right.$
2.$\left \{ {{x_2=-1} \atop {16*(-1)^2+8*(-1)+1=5y}} \right.$
$\left \{ {{x_2=-1} \atop {9=5y}} \right.$
$\left \{ {{x_2=-1} \atop {y_2=1,8}} \right.$