Question

identifica y aplica el caso de factorización correspondiente X²+8x+1

Answer 1

In x² + 8x + 1 0, we observe that the x is 8 = and hence, we can complete the square by adding the square of half of 8 i.e. 4² = 16.

Hence x² + 8x + 1 = 0 can be written as x² + 8x +16 16 + 1 = 0 or

(x + 4)² - 150 which can be written as

(x+4)² – (√15) ² 2 = 0

Now using identity a² − b² = (a + b)(a - b), this can be written as

(x +4+√15) (x + 4√15) = 0

Hence either a + 4 + √15 = 0 i.e. x =

or x + 4√15 = 0 i.e. x = −4+ √15

- 4 - √15