(1)
25x²-36=0
(5x)^2-6^2=0
(5x+6)(5x-6)=0
x=±6/5
(2)
(x+2)²-25=0
(x+2)^2-5^2=0
(x+2+5)(x+2-5)=0
(x+7)(x-3)=0
x=-7或x=3
(3)
x²-6x+3=0
x^2-6x=-3
x^2-6x+9=6
(x-3)^2=6
x=3±√6
(4)2x(x+4)=1
2x^2+8x=1
2x^2+8x+8=9
2(x+2)^2=9
x=-2±3√2/2
(5)2x²-7x+3=0
(x-3)(2x-1)=0
x=3或x=1/2
(6)x²-7x+6=0
(x-6)(x-1)=0
x=6或x=1
(7)(x+2)²-10(x+2)+25=0
(x+2-5)^2=0
(x-3)^2=0
x=3
(8)x²+4x-5=0
第一种方法,因式分解法:
(x+5)(x-1)=0
x=-5或x=1
第二种方法,配方法:
x^2+4x-5=0
x^2+4x=5
x^2+4x+4=9
(x+2)^2=9
x+2=3或x+2=-3
x=1或x=-5
第三种方法,公式法:
x^2+4x-5=0
x=[-4±√(4^2-4*1*(-5)]/2=(-4±√36)/2=(-4±6)/2
x=-5或x=1