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dsocol
@dsocol
July 2022
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Решите уравнение [tex] \sqrt{ x^{2} -5x+6}-5+ \frac{1}{x} ( \sqrt{5x- x^{2} -6}+10)=0 [/tex]
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m11m
Verified answer
!!!!!!!!!!!!!!!!!!!!!!?!??
0 votes
Thanks 1
m11m
Удалите мое решение
oganesbagoyan
зачем , можно исправить
m11m
Есть уже правильное
oganesbagoyan
Ваше решение правильно, пусть останется. Вы пропустили слагаемое (- 5 )
m11m
Заданное условие нарушено, исправлять не буду
oganesbagoyan
Verified answer
Task/26194630
--------------------
Решите уравнение √(x² -5x +6) - 5 + (1/x) *( √(5x- x² - 6) +10 ) =0
-------------
√(x² -5x +6) - 5 + (1/x)* ( √- (x²- 5x+ 6) +10 ) =0 ;
ОДЗ: { x² -5x +6 ≥ 0 ; { x² -5x +6 ≥ 0 ;
{ -( x² -5x +6) ≥ 0 .⇔ { x² -5x +6 ≤ 0 . ⇔
x² -5x +6= 0 ;
x₁ = 2 ; * * *
0 - 5 +(1/2)*(0 +10) = - 5+5 = 0 * * *
x
₂
= 3 .
* * *
0 - 5 +(1/3)*(0 +10) = - 5+10/3 ≠ 0 * * *
ответ : 2.
2 votes
Thanks 1
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Answers & Comments
Verified answer
!!!!!!!!!!!!!!!!!!!!!!?!??Verified answer
Task/26194630--------------------
Решите уравнение √(x² -5x +6) - 5 + (1/x) *( √(5x- x² - 6) +10 ) =0
-------------
√(x² -5x +6) - 5 + (1/x)* ( √- (x²- 5x+ 6) +10 ) =0 ;
ОДЗ: { x² -5x +6 ≥ 0 ; { x² -5x +6 ≥ 0 ;
{ -( x² -5x +6) ≥ 0 .⇔ { x² -5x +6 ≤ 0 . ⇔
x² -5x +6= 0 ;
x₁ = 2 ; * * * 0 - 5 +(1/2)*(0 +10) = - 5+5 = 0 * * *
x₂ = 3 . * * * 0 - 5 +(1/3)*(0 +10) = - 5+10/3 ≠ 0 * * *
ответ : 2.