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2次方程式のプリント

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2次方程式
レベル3 · 解に根号をふくむ
方程式を解きなさい。
1.
x2−6x+6=0x^{2} - 6x + 6 = 0
x1=x_1 =x2=x_2 =
2.
x2−12x+22=0x^{2} - 12x + 22 = 0
x1=x_1 =x2=x_2 =
3.
x2+2x−18=0x^{2} + 2x - 18 = 0
x1=x_1 =x2=x_2 =
4.
x2+10x+11=0x^{2} + 10x + 11 = 0
x1=x_1 =x2=x_2 =
5.
x2+12x+26=0x^{2} + 12x + 26 = 0
x1=x_1 =x2=x_2 =
6.
x2−12x+33=0x^{2} - 12x + 33 = 0
x1=x_1 =x2=x_2 =
7.
3x2−20x+12=03x^{2} - 20x + 12 = 0
x1=x_1 =x2=x_2 =
8.
3x2−x−4=03x^{2} - x - 4 = 0
x1=x_1 =x2=x_2 =
9.
2x2−5x+3=02x^{2} - 5x + 3 = 0
x1=x_1 =x2=x_2 =
10.
3x2+2x−8=03x^{2} + 2x - 8 = 0
x1=x_1 =x2=x_2 =
解答
2次方程式 · レベル3 · 解に根号をふくむ
1.x=3±3x = 3 \pm \sqrt{3}
2.x=6±14x = 6 \pm \sqrt{14}
3.x=−1±19x = -1 \pm \sqrt{19}
4.x=−5±14x = -5 \pm \sqrt{14}
5.x=−6±10x = -6 \pm \sqrt{10}
6.x=6±3x = 6 \pm \sqrt{3}
7.x1=23,  x2=6x_1 = \frac{2}{3},\; x_2 = 6
8.x1=43,  x2=−1x_1 = \frac{4}{3},\; x_2 = -1
9.x1=1.5,  x2=1x_1 = 1.5,\; x_2 = 1
10.x1=43,  x2=−2x_1 = \frac{4}{3},\; x_2 = -2