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Мэх
@Мэх
June 2022
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Найти корни уравнения: x+2=15/(4x+1)
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Ртуть3
Verified answer
X+2=15/(4x+1)
Домножаем на 4x+1
(x+2)(4x+1)=15
4x^2+8x+x+2=15
4x^2+9x-13=0
D=9^2+4*4*3=289=17^2
x1=(-9-17)/8=-13/4
x2=(-9+17)/8=1
ОЗД:4x+1≠0
4x≠-1
x≠-1/4
Ответ:x=1
x=-13/4
2 votes
Thanks 6
Briggil
По свойству дроби 4х+1 не равно 0, следовательно х не равен -0.25.
х+2=15/(4х+1) * (4х+1)
(х+2)(4х+1)-15=0
4х^2+9х-13=0
D = 81+208 = 289 = 17^2
х1 = (-9+17)/8 = 1
х2 = (-9-17)/8 = -3.25.
Ответ: Х не равен -0.25, х1 = 1, х2 - -3.25
2 votes
Thanks 3
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Answers & Comments
Verified answer
X+2=15/(4x+1)Домножаем на 4x+1
(x+2)(4x+1)=15
4x^2+8x+x+2=15
4x^2+9x-13=0
D=9^2+4*4*3=289=17^2
x1=(-9-17)/8=-13/4
x2=(-9+17)/8=1
ОЗД:4x+1≠0
4x≠-1
x≠-1/4
Ответ:x=1
x=-13/4
х+2=15/(4х+1) * (4х+1)
(х+2)(4х+1)-15=0
4х^2+9х-13=0
D = 81+208 = 289 = 17^2
х1 = (-9+17)/8 = 1
х2 = (-9-17)/8 = -3.25.
Ответ: Х не равен -0.25, х1 = 1, х2 - -3.25