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gollandskayaroz
@gollandskayaroz
July 2022
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Решите уравнение:
1) x^{4}=(3x-10)^2
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litanalove
Verified answer
X^4 =(3x -10)²
x^4 -(3x -10)² =0
(x²- (3x-10))(x²+ (3x-10)) =0
(x² -3x +10)(x² +3x -10) =0
x² -3x +10 =0
D =9 -40= -31<0, уравнение корней не имеет
x² +3x -10 =0
D =9 +40 =49 =7²
x1 =(-3 -7)/2 = -5
x2 =(-3 +7)/2 =2
ответ: x= -5, x =2
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Answers & Comments
Verified answer
X^4 =(3x -10)²x^4 -(3x -10)² =0
(x²- (3x-10))(x²+ (3x-10)) =0
(x² -3x +10)(x² +3x -10) =0
x² -3x +10 =0
D =9 -40= -31<0, уравнение корней не имеет
x² +3x -10 =0
D =9 +40 =49 =7²
x1 =(-3 -7)/2 = -5
x2 =(-3 +7)/2 =2
ответ: x= -5, x =2