Answer:
x = 8 ± 2i
Step-by-step explanation:
Given
x² - 16x + 60 = - 12 ( subtract 60 from both sides )
x² - 16x = - 72
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 8)x + 64 = - 72 + 64, thus
(x - 8)² = - 8 ( take the square root of both sides )
x - 8 = ± = ± 2i
( add 8 to both sides )
x = 8 ± 2i
Answer:
Step-by-step explanation:
Given:
Sam takes x minutes yo walk from home to library.
And takes 5 minutes more to walk from the library to school than from home to the library.
Express the total time taken for Sam to walk from home to school via the library in terms of x.
<u>Solution:</u>
Time taken by Sam to walk from home to library =
Time taken by Sam to walk from library to school =
Total time taken by Sam to walk from home to school via the library = Time taken to walk from home to library + Time taken to walk from library to school
Total time taken =
Therefore, the total time taken for Sam to walk from home to school via the library is