Augmented matrix
A=⎣⎡134−1−1225x2−81−2x+2⎦⎤
R2=R2−3R1
⎣⎡104−1222−1x2−81−5x+2⎦⎤
R3=R3−4R1
⎣⎡100−1262−1x2−161−5x−2⎦⎤
R2=R2/2
⎣⎡100−1162−1/2x2−161−5/2x−2⎦⎤
R1=R1+R2
⎣⎡1000163/2−1/2x2−16−3/2−5/2x−2⎦⎤
R3=R3−6R2
⎣⎡1000103/2−1/2x2−13−3/2−5/2x+13⎦⎤ I) no solution
x2−13=0x+13=0=>x=±13
Ii) exactly one solution
x2−13=0=>x=±13
Iii) infinitely many solutions
x2−13=0x+13=0=>x∈∅
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