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9 needs to be added to complete the square. When squaring (x + n), the result is x2 + 2nx + n2. We have +10x, so n must be 10/2 = 5. Thus: (x + 5)2 = x2 +10x + 25 = x2 +10x + 14 + 9 So 9 needs to be added to complete the square, giving: x2 +10x + 14 = (x + 5)2 - 9
-6
25 x2+10x-14 = 0 Completing the square:- (x+5)2-14 = 0 (x+5)2-25-14 = 0 x+5 = the sqrt of 39 x = -5-/+ the sqrt of 39
10x+10y+100 There is a common 10 in each number. 10(x+y+10)
x2+10x+1 = -12+2x x2+8x+13 = 0 The solution: x = -4 + the square root of 3 or x = -4 - the square root of 3