(x+1.4+x)(x+1.3)/2=1.53等于多少?
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解:(x+1.4+x)(x+1.3)/2=1.53
(2x+1.4)(x+1.3)/2=1.53
2(x+0.7)(x+1.3)/2=1.53
(x+0.7)(x+1.3)=1.53
x²+0.7x+1.3x+0.91=1.53
x²+2x+0.91-1.53=0
x²+2x+1-0.09-1.53=0
(x+1)²=1.53+0.09
(x+1)²=1.62
(x+1)²=162/100
x+1=√162/10或者x+1=-√162/10
x=√162/10-1或者x=-√162/10-1
(2x+1.4)(x+1.3)/2=1.53
2(x+0.7)(x+1.3)/2=1.53
(x+0.7)(x+1.3)=1.53
x²+0.7x+1.3x+0.91=1.53
x²+2x+0.91-1.53=0
x²+2x+1-0.09-1.53=0
(x+1)²=1.53+0.09
(x+1)²=1.62
(x+1)²=162/100
x+1=√162/10或者x+1=-√162/10
x=√162/10-1或者x=-√162/10-1
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先适当的化简一下
(2x+1.4)(x+1.3)=3.06
2x^2+2.6x+1.4x+1.82=3.06
2x^2+4x+1.24=0
x^2+2x+0.62=0
x=(-2+-根号下1.52)/2
(2x+1.4)(x+1.3)=3.06
2x^2+2.6x+1.4x+1.82=3.06
2x^2+4x+1.24=0
x^2+2x+0.62=0
x=(-2+-根号下1.52)/2
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(x+0.7)(x+1.3)=1.53,
x^2+2x+0.91=1.53,
(x+1)^2=1.62,
x=-1土√1.62.
x^2+2x+0.91=1.53,
(x+1)^2=1.62,
x=-1土√1.62.
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[2(x+0.7)(x+1.3)]/2=1.53
(x+0.7)(x+1.3)=1.53
x²+1.3x+0.7x+0.91=1.53
x²+2x=1.53-0.91
x²+2x+1=1.62
(x+1)²=162/100
x+1=±(9√2)/10
∴x=(-10±9√2)/10
(x+0.7)(x+1.3)=1.53
x²+1.3x+0.7x+0.91=1.53
x²+2x=1.53-0.91
x²+2x+1=1.62
(x+1)²=162/100
x+1=±(9√2)/10
∴x=(-10±9√2)/10
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