用配方法解:(1)6X^2-7x+1=0 (2)5x^2-18=9x (3)4x^2-3x=52 (4)5x^2=4-2
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用配方法解:(1)6X^2-7x+1=0 (2)5x^2-18=9x (3)4x^2-3x=52 (4)5x^2=4-2x ,用配方法解!用配方法解!
(1)6X^2-7x+1=0
6X^2-7x=-1
X^2-7x/6=-1/6
X^2-7x/6+49/144=49/144-24/144
(x-7/12)^2=25/144
x-7/12=±5/12
x=7/12±5/12
x=(7±5)/12
(2)5x^2-18=9x
5x^2-9x=18
x^2-9x/5=18/5
x^2-9x/5+81/100=360/100+81/100
(x-9/10)^2=441/100
x-9/10=±21/10
x=9/10±21/10
x=(9±21)/10
(3)4x^2-3x=52
x^2-3x/4=13
x^2-3x/4+9/64=832/64+9/64
(x-3/8)^2=841/64
x-3/8=±29/8
x=3/8±29/8
x=(3±29)/8
(4)5x^2=4-2x
5x^2+2x=4
x^2+2x/5=4/5
x^2+2x/5+1/25=20/25+1/25
(x+1/5)^2=21/25
x+1/5=±√21/5
x=±√21/5-1/5
x=(±√21-1)/5
6X^2-7x=-1
X^2-7x/6=-1/6
X^2-7x/6+49/144=49/144-24/144
(x-7/12)^2=25/144
x-7/12=±5/12
x=7/12±5/12
x=(7±5)/12
(2)5x^2-18=9x
5x^2-9x=18
x^2-9x/5=18/5
x^2-9x/5+81/100=360/100+81/100
(x-9/10)^2=441/100
x-9/10=±21/10
x=9/10±21/10
x=(9±21)/10
(3)4x^2-3x=52
x^2-3x/4=13
x^2-3x/4+9/64=832/64+9/64
(x-3/8)^2=841/64
x-3/8=±29/8
x=3/8±29/8
x=(3±29)/8
(4)5x^2=4-2x
5x^2+2x=4
x^2+2x/5=4/5
x^2+2x/5+1/25=20/25+1/25
(x+1/5)^2=21/25
x+1/5=±√21/5
x=±√21/5-1/5
x=(±√21-1)/5
用配方法解:(1)6X^2-7x+1=0 (2)5x^2-18=9x (3)4x^2-3x=52 (4)5x^2=4-2
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