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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
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49-apex
Find a positive number that equals 12 when added to its square?
3
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9
Find a positive number that equals to 72 when added to its square?
82+8 = 72
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-7
X2 plus 14x equals -7 what number is added to complete the square?
49-apex
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3
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9
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102 +10=110
Find a positive number that equals to 72 when added to its square?
82+8 = 72
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144
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-3
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49/4 or 12.25
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-7
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Adding 100 completes the square. { I wonder why you want to complete the square when the expression already factors as x(x-20) }.
What is a positive number that equals 2 when added to its square?
1 is the number you are looking for.1 + 12 = 1 + 1 = 2.QED
What number must you add to complete the square x2-8x equals 3?
X2 - 8X = 3halve the linear term (- 8 ), square it and add it to both sidesX2 - 8X + 16 = 3 + 16factor left, gather terms right(X - 4)2 = 19(X - 4)2 - 19 = 0-------------------------(4, - 19)----------------the vertex16 is the number that needed to be added to both sides to complete the square
