4x²-3x=52
x²-(3x/4)=13
x²-(3x/4)+(3/8)²=13+(3/8)²
(x-3/8)²=841/64
x-3/8=±√(841/64)
x-3/8=±29/8
x-3/8=29/8 或 x-3/8=-29/8
x1=4,x2=-13/4
3x²-9x+2=0
3x²-9x=-2
x²-3x=-2/3
x²-3x+(3/2)²=-2/3+(3/2)²
(x-3/2)²=5/6
x-3/2=±√(5/6)
x-3/2=±(√30)/6
x-3/2=(√30)/6 或 x-3/2=-(√30)/6
x1=(3+√30)/6 ,x2=(3-√30)/6
5x²-18=9x
5x²-9x=18
x²-(9x/5)=18/5
x²-(9x/5)+(9/10)²=18/5+(9/10)²
(x-9/10)²=441/100
x-9/10=±√(441/100)
x-9/10=±21/10
x-9/10=21/10 或 x-9/10=-21/10
x1=3 ,x2=-6/5