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Sagot :
Answer:
Step-by-step explanation:
ax² + bx + c = y
x² + 10x + 27 = 0
to complete the square, we want the "c" term to be equal to the square of half of the "b" term.
In this case b = 10, half of that is 5. the square of 5 is 25.
We already have c = 27, so to get 25 there we just subtract 2 from each side of the equation.
x² + 10x + 27 - 2 = 0 - 2
x² + 10x + 25 = - 2
(x + 5)² = - 2
taking the square root of each side
x + 5 = ±√- 2
the square root of a negative number is an imaginary number
x + 5 = ±√-1√2
x + 5 = ± i√2
x = - 5 ± i√2
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