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Quadratic equations worksheet

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Quadratic equations
Level 1 · Square roots and factorised form
Solve the equations.
1.
x2=1x^2 = 1
x1=x_1 =x2=x_2 =
2.
x2=81x^2 = 81
x1=x_1 =x2=x_2 =
3.
x2−121=0x^2 - 121 = 0
x1=x_1 =x2=x_2 =
4.
x2−64=0x^2 - 64 = 0
x1=x_1 =x2=x_2 =
5.
5x2=805x^2 = 80
x1=x_1 =x2=x_2 =
6.
4x2=164x^2 = 16
x1=x_1 =x2=x_2 =
7.
(x+4)(x+7)=0(x + 4)(x + 7) = 0
x1=x_1 =x2=x_2 =
8.
(x+9)(x+8)=0(x + 9)(x + 8) = 0
x1=x_1 =x2=x_2 =
9.
x(x−7)=0x(x - 7) = 0
x1=x_1 =x2=x_2 =
10.
x(x+2)=0x(x + 2) = 0
x1=x_1 =x2=x_2 =
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Answer key
Quadratic equations · Level 1 · Square roots and factorised form
1.x=±1x = \pm 1
2.x=±9x = \pm 9
3.x=±11x = \pm 11
4.x=±8x = \pm 8
5.x=±4x = \pm 4
6.x=±2x = \pm 2
7.x1=−4,  x2=−7x_1 = -4,\; x_2 = -7
8.x1=−9,  x2=−8x_1 = -9,\; x_2 = -8
9.x1=0,  x2=7x_1 = 0,\; x_2 = 7
10.x1=0,  x2=−2x_1 = 0,\; x_2 = -2
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