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2 years ago

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

Mathematics

1 answer:

trapecia [35]2 years ago

7 0

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

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blsea [12.9K]

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$x=0^\circ,120^\circ,240^\circ,360^\circ$

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