Решить уравнение: √7x+23 -x=5. Created by prosvetlana00. matematika-ru

Решить уравнение: √7x+23 -x=5...

prosvetlana00 @prosvetlana00

July 2022 2 3 Report

Решить уравнение:
√7x+23 -x=5

ibra13

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X=1/3 это ответ. ))))))))))))))))))))

1 votes Thanks 0

sangers1959

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√(7x+23)-x=5
√(7x+23)=x+5
ОДЗ: 7x+23≥0 7x≥-23 x≥-3²/₇ x+5≥0 x≥-5 ⇒ x∈[-3²/₇;+∞)
(√(7x+23))²=(x+5)²
7x+23=x²+10x+25
x²+3x+2=0 D=1
x₁=-2 ∈ ОДЗ x₂=-1 ∈ ОДЗ
Ответ: x₁=-2 x₂=-1.

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