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Answers
1. x² - 5x - 6 = 0
=> x² - 5x - 6 = 0
=> x² - 6x + x - 6 = 0
=> x(x - 6) + (x - 6) = 0
=> (x - 6)(x + 1) = 0
=> x = 6 , -1
Hence , x = 6 , -1
2. x² + 8x + 16 = 0
=> x² + 8x + 16 = 0
=> x² + 4x + 4x + 16 = 0
=> x(x + 4) + 4(x + 4) = 0
=> (x + 4)(x + 4) = 0
=> x = -4 , -4
Hence , x = -4 , -4
3. x² - 4x - 5 = 0
=> x² - 4x - 5 = 0
=> x² - 5x + x - 5 = 0
=> x(x - 5) + (x - 5) = 0
=> (x - 5)(x + 1) = 0
=> x = 5 , -1
Hence , x = 5 , -1
4. x² + 5x - 14 = 0
=> x² + 5x - 14 = 0
=> x² + 7x - 2x - 14 = 0
=> x(x + 7) - 2(x + 7) = 0
=> (x + 7)(x - 2) = 0
=> x = -7 , 2
Hence , x = -7 , 2
5. x² + x - 56 = 0
=> x² + x - 56 = 0
=> x² + 8x - 7x - 56 = 0
=> x(x + 8) - 7(x + 8) = 0
=> (x + 8)(x - 7) = 0
=> x = -8 , 7
Hence , x = -8 , 7
6. x² + 11x + 30 = 0
=> x² + 11x + 30 = 0
=> x² + 5x + 6x + 30 = 0
=> x(x + 5) + 6(x + 5) = 0
=> (x + 5)(x + 6) = 0
=> x = -5 , -6
Hence , x = -5 , -6
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