How do you solve x2+8x−2=0 using completing the square?
3 Answers
Solution:
Explanation:
Solution:
Take the second coefficient, divide it by 2, and square it, to complete the square, and obtain the solutions:
Explanation:
To complete the square, take the second coefficient (the one next to the
In this case, that would be
Add this number to both sides of the original equation:
This gives us 2 possible solutions:
Explanation:
add 2 to both sides
x2+8x=2
add (12coefficient of the x-term)2 to both sides
x2+2(4)x+16=2+16
(x+4)2=18
take the square root of both sides
√(x+4)2=±√18←note plus or minus
x+4=±√18=±√9×2=±3√2
subtract 4 from both sides
x=−4±3√2←exact values
x≈−8.24 or x≈0.24 to 2 dec. places