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Quadratic equations worksheet

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Quadratic equations
Level 3 · Solutions with square roots
Solve the equations.
1.
x2+2x−12=0x^{2} + 2x - 12 = 0
x1=x_1 =x2=x_2 =
2.
x2−14=0x^{2} - 14 = 0
x1=x_1 =x2=x_2 =
3.
x2+4x−10=0x^{2} + 4x - 10 = 0
x1=x_1 =x2=x_2 =
4.
x2−12x+26=0x^{2} - 12x + 26 = 0
x1=x_1 =x2=x_2 =
5.
x2+10x+15=0x^{2} + 10x + 15 = 0
x1=x_1 =x2=x_2 =
6.
x2−8x−1=0x^{2} - 8x - 1 = 0
x1=x_1 =x2=x_2 =
7.
3x2+7x+2=03x^{2} + 7x + 2 = 0
x1=x_1 =x2=x_2 =
8.
3x2−7x−20=03x^{2} - 7x - 20 = 0
x1=x_1 =x2=x_2 =
9.
3x2+7x−6=03x^{2} + 7x - 6 = 0
x1=x_1 =x2=x_2 =
10.
3x2+4x−15=03x^{2} + 4x - 15 = 0
x1=x_1 =x2=x_2 =
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Answer key
Quadratic equations · Level 3 · Solutions with square roots
1.x=−1±13x = -1 \pm \sqrt{13}
2.x=±14x = \pm\sqrt{14}
3.x=−2±14x = -2 \pm \sqrt{14}
4.x=6±10x = 6 \pm \sqrt{10}
5.x=−5±10x = -5 \pm \sqrt{10}
6.x=4±17x = 4 \pm \sqrt{17}
7.x1=−13,  x2=−2x_1 = -\frac{1}{3},\; x_2 = -2
8.x1=−53,  x2=4x_1 = -\frac{5}{3},\; x_2 = 4
9.x1=23,  x2=−3x_1 = \frac{2}{3},\; x_2 = -3
10.x1=53,  x2=−3x_1 = \frac{5}{3},\; x_2 = -3
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