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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=100x^2 = 100
x1=x_1 =x2=x_2 =
2.
x2=64x^2 = 64
x1=x_1 =x2=x_2 =
3.
x2−100=0x^2 - 100 = 0
x1=x_1 =x2=x_2 =
4.
x2−121=0x^2 - 121 = 0
x1=x_1 =x2=x_2 =
5.
3x2=1083x^2 = 108
x1=x_1 =x2=x_2 =
6.
5x2=1805x^2 = 180
x1=x_1 =x2=x_2 =
7.
(x−7)(x−9)=0(x - 7)(x - 9) = 0
x1=x_1 =x2=x_2 =
8.
(x−7)(x+9)=0(x - 7)(x + 9) = 0
x1=x_1 =x2=x_2 =
9.
x(x+5)=0x(x + 5) = 0
x1=x_1 =x2=x_2 =
10.
x(x+6)=0x(x + 6) = 0
x1=x_1 =x2=x_2 =
Answer key
Quadratic equations · Level 1 · Square roots and factorised form
1.x=±10x = \pm 10
2.x=±8x = \pm 8
3.x=±10x = \pm 10
4.x=±11x = \pm 11
5.x=±6x = \pm 6
6.x=±6x = \pm 6
7.x1=7,  x2=9x_1 = 7,\; x_2 = 9
8.x1=7,  x2=−9x_1 = 7,\; x_2 = -9
9.x1=0,  x2=−5x_1 = 0,\; x_2 = -5
10.x1=0,  x2=−6x_1 = 0,\; x_2 = -6