Question

срочноСРОЧНО
6. Розв'яжи систему рівнянь
x-y=1
x-4y² =1​

Answer 1

$\displaystyle\bf\\\left \{ {{x - y = 1} \atop {x - 4 {y}^{2} = 1 }} \right. \\ \displaystyle\bf\\\left \{ {{x = y + 1} \atop {y +1 - 4 {y}^{2} = 1 }} \right. \\ \\ \\ - 4 {y}^{2} + y = 1 - 1 \\ - 4 {y}^{2} + y = 0 \\ 4 {y}^{2} - y = 0 \\ {y}^{2} - 0.25y = 0 \\ y(y - 0.25) = 0 \\ y_{1} = 0 \\ y_{2} = 0.25 \\ \\ x_{1} = 0 + 1 = 1 \\ x_{2} = 0.25 + 1 = 1.25$

Ответ: ( 1 ; 0 ) и ( 1,25 ; 0,25 )