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Regina800
@Regina800
August 2022
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Решите уравнение (4x+3)(x-1)-(3x-2)(x+2)=10-5x
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zhenyaM2002
Verified answer
(4х + 3)(х-1) - (3х - 2)(х+2) = 10 - 5х
4х * х + 4х * (-1) + 3*х +3*(-1) - (3х*х + 3х*2 - 2*х -2*2) = 10 - 5х
4х² - 4х + 3х - 3 - (3х² + 6х - 2х - 4) = 10 - 5х
4х² - х - 3 - 3х² - 4х + 4 = 10 - 5х
х² - 5х + 1 = 10 - 5х
х² - 5х + 1 - 10 + 5х = 0
х² - 9 = 0
х² - 3² = 0
(х - 3)(х +3) = 0
х - 3= 0
х₁ = 3
х + 3 = 0
х₂ = - 3
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Answers & Comments
Verified answer
(4х + 3)(х-1) - (3х - 2)(х+2) = 10 - 5х4х * х + 4х * (-1) + 3*х +3*(-1) - (3х*х + 3х*2 - 2*х -2*2) = 10 - 5х
4х² - 4х + 3х - 3 - (3х² + 6х - 2х - 4) = 10 - 5х
4х² - х - 3 - 3х² - 4х + 4 = 10 - 5х
х² - 5х + 1 = 10 - 5х
х² - 5х + 1 - 10 + 5х = 0
х² - 9 = 0
х² - 3² = 0
(х - 3)(х +3) = 0
х - 3= 0
х₁ = 3
х + 3 = 0
х₂ = - 3