求解下列方程1.X^2+12X+25=05.X^2-14=02.X^2+4X=106.X^2-6X+8=03.X^2-6X=117.(X+6)^2+7^2=10^24.X^2-2X-4=08.(X+3)(X-1)=69.X^2+4X+1=0我数学很差,这些题都不会做,可是这又是作业,没办法虽然我知道题有点多orz我正在努

Question

求解下列方程
1.X^2+12X+2 5=0 5.X^2-14=0
2.X^2+4X=10 6.X^2-6X+8=0
3.X^2-6X=11 7.(X+6)^2+7^2=10^2
4.X^2-2X-4=0 8.(X+3)(X-1)=6
9.X^2+4X+1=0
我数学很差,这些题都不会做,可是这又是作业,没办法
虽然我知道题有点多orz 我正在努力的补习 分就这么点了

Answer 1

你好!
1.x²+12x+25=0
x²+12x+36 = 11
(x+6)² = 11
x+6 = ±√11
x = - 6 ±√11
2.x²+4x=10
x²+4x+4=14
(x+2)² = 14
x+2 = ±√14
x = - 2 ±√14
3.x²-6x=11
x²-6x+9=20
(x-3)²=20
x-3 = ±2√5
x = 3 ± 2√5
4.x²-2x-4=0
x²-2x+1=5
(x-1)²=5
x-1 = ±√5
x = 1 ± √5
5.x² - 14 = 0
x² = 14
x = ±√14
6.x²-6x+8=0
x²-6x+9=1
(x-3)²=1
x-3=±1
x₁ = 4 x₂ = 2
7.(x+6)²+7²=10²
(x+6)² = 51
x+6 = ±√51
x = - 6 ±√51
8.(x+3)(x-1)=6
x²+2x-3=6
x²+2x+1=10
(x+1)²=10
x+1=±√10
x = - 1 ±√10
9.x²+4x+1=0
x²+4x+4=3
(x+2)²=3
x+2=±√3
x = - 2±√3