Question

Tìm x, y biết:

\(a,2y^2=3-\left|x+4\right|\)

\(b,3y^2=12-\left|x-2\right|\)

Answer 1

a: =>|x+4|+2y^2=3

=>(|x+4|;2y^2) thuộc {(0;2); (2;0)}

\(\Leftrightarrow\left(x+4;2y^2\right)\in\left\{\left(0;2\right);\left(-2;0\right);\left(2;0\right)\right\}\)

\(\Leftrightarrow\left(x;y\right)\in\left\{\left(-4;1\right);\left(-4;-1\right);\left(-6;0\right);\left(-2;0\right)\right\}\)

b: =>|x-2|+3y^2=12

\(\Leftrightarrow\left(x-2;3y^2\right)\in\left\{\left(0;12\right);\left(12;0\right);\left(-12;0\right)\right\}\)

hay \(\left(x,y\right)\in\left\{\left(2;2\right);\left(2;-2\right);\left(14;0\right);\left(-10;0\right)\right\}\)