x2+y2=29(1)y=x2+1x2=y−1(2)$Note:y−1MUSTbe$≥0SOy≥1$sub(2)into(1)$y−1+y2=29y2+y−30=0(y−5)(y+6)=0y=5ory=−6$ymustbegreaterorequalto1soy=−6isinvalidintherealnumbersystem$y=5subtofindxx2=5−1=4x=±2$Sothe2solutionsare(2,5)and(−2,5)
Here is a really neat graph to show you what is happening
https://www.desmos.com/calculator/kzutxgb3jm
x2+y2=29(1)y=x2+1x2=y−1(2)$Note:y−1MUSTbe$≥0SOy≥1$sub(2)into(1)$y−1+y2=29y2+y−30=0(y−5)(y+6)=0y=5ory=−6$ymustbegreaterorequalto1soy=−6isinvalidintherealnumbersystem$y=5subtofindxx2=5−1=4x=±2$Sothe2solutionsare(2,5)and(−2,5)
Here is a really neat graph to show you what is happening
https://www.desmos.com/calculator/kzutxgb3jm