计算题 要数字和答案,要准确!(1)25x²-36=0(2)(x+2)²-25=0(3)x²-6x+3=0(4)2x(x
1个回答

(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