x2 = 49 x2 = 49 x2 – 49 = 0 x2 = 49 x2 – 49 = 0 (x – 7)(x + 7) = 0 x2 = 49 x2 – 49 = 0 (x – 7)(x + 7) = 0 x = 7 or -7 x2 + 6x + 9 = 30 x2 + 6x + 9 = 30 x2 + 6x – 21 = 0 x2 + 6x + 9 = 30 x2 + 6x – 21 = 0 2 x + 6x + 9 = 30 x2 + 6x + 9 = 30 x2 + 6x – 21 = 0 2 x + 6x + 9 = 30 (x + 3)(x + 3) = 30 x2 + 6x + 9 = 30 x2 + 6x – 21 = 0 2 x + 6x + 9 = 30 (x + 3)(x + 3) = 30 (x + 3)2 = 30 x2 + 6x + 9 = 30 x2 + 6x – 21 = 0 2 x + 6x + 9 = 30 (x + 3)(x + 3) = 30 (x + 3)2 = 30 x2 + 6x + 9 = 30 x2 + 6x – 21 = 0 2 x + 6x + 9 = 30 (x + 3)(x + 3) = 30 (x + 3)2 = 30 x2 + 6x + 9 = 30 x2 + 6x – 21 = 0 2 x + 6x + 9 = 30 (x + 3)(x + 3) = 30 (x + 3)2 = 30 or x2 + 6x + 9 = 30 x2 + 6x – 21 = 0 2 x + 6x + 9 = 30 (x + 3)(x + 3) = 30 (x + 3)2 = 30 or x2 + 6x + 9 = 30 x2 + 6x – 21 = 0 2 x + 6x + 9 = 30 (x + 3)(x + 3) = 30 (x + 3)2 = 30 or or or or or or 16x2 + 40x + 25 = 23 16x2 + 40x + 25 = 23 (4x + 5)(4x + 5) = 23 16x2 + 40x + 25 = 23 (4x + 5)(4x + 5) = 23 (4x + 5)2 = 23 16x2 + 40x + 25 = 23 (4x + 5)(4x + 5) = 23 (4x + 5)2 = 23 16x2 + 40x + 25 = 23 (4x + 5)(4x + 5) = 23 (4x + 5)2 = 23 16x2 + 40x + 25 = 23 (4x + 5)(4x + 5) = 23 (4x + 5)2 = 23 x -0.05 or -2.45 When factoring will not work to solve a quadratic equation, sometimes it is possible to solve a quadratic equation by taking the square root of both sides.
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