Ответ:
Пошаговое объяснение:
1)
(х+3)(х-2) - (х+4)(х-1) = 3х
(х²-2х+3х-6) - (х²-х+4х-4) = 3х
(х²+х-6) - (х²+3х-4) = 3х
х² + х - 6 - х² - 3х + 4 = 3х
х - 3х - 6 + 4 = 3х
-2х - 2 = 3х
-2х - 3х = 2
-5х = 2
х = 2 : (-5)
х = -0,4
2)
15х² - (3х-2)(5х+4) = 16
15х² - (15х²+12х-10х-8) = 16
15х² - (15х²+2х-8) = 16
15х² - 15х² - 2х + 8 = 16
-2х + 8 = 16
-2х = 16 - 8
-2х = 8
х = 8 : (-2)
х = -4
(х+4)(х-2) - (х+8)(х-4) =
(х²-2х+4х-8) - (х²-4х+8х-32) =
(х²+2х-8) - (х²+4х-32) =
х² + 2х - 8 - х² - 4х + 32 =
-2х + 24
х = -3,5
-2*(-3,5) + 24 = 7 + 24 = 31
(2х-3)(х-1) + (х+3)(3х+1) =
(2х²-2х-3х+3) + (3х²+х+9х+3) =
(2х²-5х+3) + (3х²+10х+3) =
2х² - 5х + 3 + 3х² + 10х + 3 =
5х² + 5х + 6
х = -3/5
5*(-3/5)² + 5*(-3/5) + 6 =
5*9/25 - 15/5 + 6 =
45/25 - 3 + 6 =
9/5 + 3 = 1. 4/5 + 3 = 4. 4/5
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Answers & Comments
Ответ:
Пошаговое объяснение:
1)
(х+3)(х-2) - (х+4)(х-1) = 3х
(х²-2х+3х-6) - (х²-х+4х-4) = 3х
(х²+х-6) - (х²+3х-4) = 3х
х² + х - 6 - х² - 3х + 4 = 3х
х - 3х - 6 + 4 = 3х
-2х - 2 = 3х
-2х - 3х = 2
-5х = 2
х = 2 : (-5)
х = -0,4
2)
15х² - (3х-2)(5х+4) = 16
15х² - (15х²+12х-10х-8) = 16
15х² - (15х²+2х-8) = 16
15х² - 15х² - 2х + 8 = 16
-2х + 8 = 16
-2х = 16 - 8
-2х = 8
х = 8 : (-2)
х = -4
1)
(х+4)(х-2) - (х+8)(х-4) =
(х²-2х+4х-8) - (х²-4х+8х-32) =
(х²+2х-8) - (х²+4х-32) =
х² + 2х - 8 - х² - 4х + 32 =
-2х + 24
х = -3,5
-2*(-3,5) + 24 = 7 + 24 = 31
2)
(2х-3)(х-1) + (х+3)(3х+1) =
(2х²-2х-3х+3) + (3х²+х+9х+3) =
(2х²-5х+3) + (3х²+10х+3) =
2х² - 5х + 3 + 3х² + 10х + 3 =
5х² + 5х + 6
х = -3/5
5*(-3/5)² + 5*(-3/5) + 6 =
5*9/25 - 15/5 + 6 =
45/25 - 3 + 6 =
9/5 + 3 = 1. 4/5 + 3 = 4. 4/5