Expression 10: negative StartFraction, 24 "x" squared Over negative 24 , EndFraction plus StartFraction, 32 Over negative 24 , EndFraction equals 0−24x2−24+32−24=0
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Solution
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Expression 12: "x" squared plus 0 "x" minus 4 thirds equals 0x2+0x−43=0
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Expression 13: "x" equals negative 0 halves plus left bracket, 1 , negative 1 , right bracket StartRoot, left parenthesis, negative 0 halves , right parenthesis squared plus 4 thirds , EndRootx=−02+1,−1−022+43
equals=
1.1 5 4 7 0 0 5 3 8 3 81.15470053838
negative 1.1 5 4 7 0 0 5 3 8 3 8−1.15470053838
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Expression 14: "x" Subscript, 1 , Baseline equals StartFraction, 2 Over StartRoot, 3 , EndRoot , EndFractionx1=23
equals=
1.1 5 4 7 0 0 5 3 8 3 81.15470053838
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Expression 15: "x" Subscript, 2 , Baseline equals negative StartFraction, 2 Over StartRoot, 3 , EndRoot , EndFractionx2=−23
equals=
negative 1.1 5 4 7 0 0 5 3 8 3 8−1.15470053838
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Graphs and Points
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Expression 17: "y" equals left parenthesis, StartFraction, "x" Over "x" minus 2 , EndFraction , right parenthesis squared plus left parenthesis, StartFraction, "x" Over "x" plus 2 , EndFraction , right parenthesis squared minus 2y=xx−22+xx+22−2
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Expression 18: "y" equals "x" squared minus 4 thirdsy=x2−43
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Points
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30
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left parenthesis, StartFraction, "x" Over "x" minus 2 , EndFraction , right parenthesis squared plus left parenthesis, StartFraction, "x" Over "x" plus 2 , EndFraction , right parenthesis squared equals 2 ⇔ "x" equals ?xx−22+xx+22=2⇔x=?
StartFraction, "x" squared Over "x" squared plus 2 squared minus 4 "x" , EndFraction plus StartFraction, "x" squared Over "x" squared plus 2 squared plus 4 "x" , EndFraction equals 2x2x2+22−4x+x2x2+22+4x=2
"x" squared left parenthesis, "x" squared plus 4 plus 4 "x" , right parenthesis plus "x" squared left parenthesis, "x" squared plus 4 minus 4 "x" , right parenthesis equals 2 left parenthesis, "x" squared plus 4 minus 4 "x" , right parenthesis left parenthesis, "x" squared plus 4 plus 4 "x" , right parenthesisx2x2+4+4x+x2x2+4−4x=2x2+4−4xx2+4+4x
2 "x" to the 4th power plus 8 "x" squared equals 2 "x" to the 4th power plus 8 "x" squared plus 8 "x" cubed plus 8 "x" squared plus 32 plus 32 "x" negative 8 "x" cubed minus 32 "x" minus 32 "x" squared2x4+8x2=2x4+8x2+8x3+8x2+32+32x−8x3−32x−32x2
negative 24 "x" squared plus 32 equals 0−24x2+32=0
negative StartFraction, 24 "x" squared Over negative 24 , EndFraction plus StartFraction, 32 Over negative 24 , EndFraction equals 0−24x2−24+32−24=0
"x" squared plus 0 "x" minus 4 thirds equals 0x2+0x−43=0
"x" equals negative 0 halves plus left bracket, 1 , negative 1 , right bracket StartRoot, left parenthesis, negative 0 halves , right parenthesis squared plus 4 thirds , EndRoot ⇔ "x" Subscript, 1 , Baseline equals StartFraction, 2 Over StartRoot, 3 , EndRoot , EndFraction & "x" Subscript, 2 , Baseline equals negative StartFraction, 2 Over StartRoot, 3 , EndRoot , EndFractionx=−02+1,−1−022+43⇔x1=23&x2=−23
