Question

Please help me solve for x in Inx + In(x +25)=0

Answer 1

Step-by-step explanation:

ln(x) + ln(x + 25) = 0

ln(x(x + 25)) = 0

ln(x² + 25x) = 0

ln(x² + 25x) = ln(1) , x ≥ 0

x² + 25x = 1

x² + 25x + 625/4 = 1 + 625/4

(x + 25/2)² = 629/4

x + 25/2 = ±√(629/4)

x = ( -25 ±√629)/2

x = (-25 - √629)/2 atau ( -25 + √629)/2

(-25 - √629)/2 ≥ 0 NOT PROVED

(-25 + √629)/2 ≥ 0 PROVED

Solution → x = (-25 + √629)/2