Đáp án:
`x=5,y=41/12` hoặc `y=(-41)/12`
Giải thích các bước giải:
`x + (-31/12)^2 = (49/12)^2 -x = y^2`
$\bullet$ `x + (-31/12)^2 = (49/12)^2-x`
`⇔ x + 961/144 = 2401/144 -x`
`⇔ x + 961/144 = -x + 2401/144`
`⇔ x + x=-961/144 + 2401/144`
`⇔ 2x = 10`
`⇔x=10÷2`
`⇔x=5`
$\bullet$ `(49/12)^2 - x=y^2`
`⇔ 2401/144 - 5=y^2`
`⇔ y^2=2401/144 - 720/144`
`⇔ y^2=1681/144`
`⇔` \(\left[ \begin{array}{l}y^2=(\dfrac{41}{12})^2\\y^2=(\dfrac{-41}{12})^2\end{array} \right.\)
`⇔` \(\left[ \begin{array}{l}y=\dfrac{41}{12}\\y=\dfrac{-41}{12}\end{array} \right.\)
Vậy `x=5,y=41/12` hoặc `y=(-41)/12`
