数学一元整式方程,需要详细解题过程和答案!(1)a(x+2010)=2009x(a不等于2009)(2)b^2x^2+(b^2x)^2=b^2+(b^2)^2(3)c^2x+5x=1-2d^2x(4)mx^2+1=9-mx^2(m不等于0)(5)(2a-1)x=(2x-1)a(6)(x^2/n^2)+2=4-n^2x^2(7)(1/2 kx)^2-p^2=0(k不等于0)(8)hx^2+1=2hx^2
问题描述:
数学一元整式方程,需要详细解题过程和答案!
(1)a(x+2010)=2009x(a不等于2009)
(2)b^2x^2+(b^2x)^2=b^2+(b^2)^2
(3)c^2x+5x=1-2d^2x
(4)mx^2+1=9-mx^2(m不等于0)
(5)(2a-1)x=(2x-1)a
(6)(x^2/n^2)+2=4-n^2x^2
(7)(1/2 kx)^2-p^2=0(k不等于0)
(8)hx^2+1=2hx^2
答
(1)ax+2010a=2009x
(2009-a)x=2010
x=2010/(2009-a)
(2)b²x²+b^4x²=b^2+b^4
(b^2+b^4)x^2=b^2+b^4
x^2=1
x=1或x=-1
(3)(c^2+5+2d^2)x=1
x=1/(c^2+5+2d^2)
(4)(m+m)x^2=9-1
x^2=4/m
x=2/√m或x=-2/√m
(5)(2a-1)x=2ax-a
(2a-2a-1)x=-a
x=a
(6)(1/n^2+n^2)x^2=4
[(1+n^4)/n^2]x^2=4
x^2=4n^2/(1+n^4)
x=2|n|/√(1+n^4)或x=-2|n|/√(1+n^4)
(7)1/4 k^2x^2=p^2
x^2=4p^2/k^2
x=2|p/k|或x=-2|p/k|
(8)1=hx^2
x^2=1/h
x=1/√h或x=-1/√h
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