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tiwaribianca475
27.06.2019 •
Mathematics
Solve x^2+8x+10=3 by completing the square
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Ответ:
x = -1 and x = -7
Step-by-step explanation:
Rewrite x^2+8x+10=3 as x^2 + 8x + 10=3
Now identify the coefficient of the x term.
It is 8. Halve that, getting 4, and then square
this result, getting 16.
Now add 16 and then subtract 16 in x^2 + 8x + + 10=3, as
follows: x^2 + 8x + 16 - 16 + 10=3
Simplify this in two ways: First, rewrite x^2 + 8x + 16 as (x + 4)^2, and
Combine -16 and 10: -6
and rewrite the equation as (x + 4)^2 - 6 = 3
Now add 6 to both sides: (x + 4)^2 = 9
Take the square root of both sides:
x + 4 = ±3
Then x = -4 + 3 and x = -4 -3, or x = -1 and x = -7
Ответ:
Its the 2nd one