x²+x-12=0
a=1, b=1, c=-12
â³=b²-4ac
=1²-4Ã1Ã(-12)
=1+48
=49
ââ³=â49=7
x=(-b±ââ³)/(2a)
=(-1±7)/2
x1=(-1+7)/2
=3
x2=(-1-7)/2
=-4
x²-â2x-1/4=0
a=1, b=-â2, c=-1/4
â³=b²-4ac
=(-â2)²-1Ã1Ã(-1/4)
=2+1
=3
ââ³=â3
x=(-b±ââ³)/(2a)
=(â2±â3)/2
x1=(â2+â3)/2
x2=(â2-â3)/2
x²+4x+8=2x+11
x²+4x-2x+8-11=0
x²+2x-3=0
a=1, b=2, c=-3
â³=b²-4ac
=2²-4Ã1Ã(-3)
=4+12
=16
ââ³=â16=4
x=(-b±ââ³)/(2a)
=(-2±4)/2
x1=(-2+4)/2
=1
x2=(-2-4)/2
=-3
x(x-4)=2-8x
x²-4x=2-8x
x²-4x+8x-2=0
x²+4x-2=0
a=1, b=4, c=-2
â³=b²-4ac
=4²-4Ã1Ã(-2)
=16+8
=24
ââ³=â24=2â6
x=(-b±ââ³)/(2a)
=(-4±2â6)/2
x1=(-4+2â6)/2
=-2+â6
x2=(-4-2â6)/2
=-2-â6
x²+2x=0
a=1, b=2, c=0
â³=b²-4ac
=2²-4Ã1Ã0
=4
ââ³=â4=2
x=(-b±ââ³)/(2a)
=(-2±2)/2
x1=(-2+2)/2
=0
x2=(-2-2)/2
=-2
x²+2â5x+10=0
a=1, b=2â5, c=10
â³=b²-4ac
=(2â5)²-4Ã1Ã10
=20-40
=-20
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