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Твой1ангел
@Твой1ангел
July 2022
1
9
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Помогите пожалуйста. Надо возвести обе части в квадрат и решить.
[tex] \sqrt{x+7} [/tex] +[tex] \sqrt{x-2} [/tex] = 9
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mmb1
Verified answer
√(x+7) + √(x-2) = 9
одз x+7≥0 x≥-7
x-2≥0 x≥2
x∈[2 +∞)
√(x+7) = 9 - √(x-2)
возводим в квадрат
x+7 = 81 - 18√(x-2) + x-2
18√(x-2) = 72
√(x-2)=4
x-2 = 16
x=18
проверка
√(18+7) + √(18-2) = 5+4 = 9
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Answers & Comments
Verified answer
√(x+7) + √(x-2) = 9одз x+7≥0 x≥-7
x-2≥0 x≥2
x∈[2 +∞)
√(x+7) = 9 - √(x-2)
возводим в квадрат
x+7 = 81 - 18√(x-2) + x-2
18√(x-2) = 72
√(x-2)=4
x-2 = 16
x=18
проверка
√(18+7) + √(18-2) = 5+4 = 9