Пошаговое объяснение:
(2х - 6)/4 = (8 - 7х)/-7
-7(2х - 6) = 4(8 - 7х)
-14х + 42 = 32 - 28х
-14х + 28х = 32 - 42
14х = -10
х = -10 : 14
х = -10/14
х = -5/7
9/(6х - 5) = (3х + 5)/2х
(6х - 5)(3х + 5) = 9 * 2х
18х² + 30х - 15х - 25 = 18х
18х² + 15х - 25 - 18х = 0
18х² - 3х - 25 = 0
а = 18; в = -3; с = -25
Д = в² - 4ас
Д = (-3)² - 4 * 18 * (-25) = 9 + 1800 = 1809
√Д = √1809 = 3√201
х1 = (-в - √Д)/2а
х1 = (3 - 3√201)/(2*18) = (3 - 3√201)/36 = (1 - √201)/12
х2 = (-в + √Д)/2а
х2 = (3 + 3√201)/(2*18) = (3 + 3√201)/36 = (1 + √201)/12
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Answers & Comments
Пошаговое объяснение:
(2х - 6)/4 = (8 - 7х)/-7
-7(2х - 6) = 4(8 - 7х)
-14х + 42 = 32 - 28х
-14х + 28х = 32 - 42
14х = -10
х = -10 : 14
х = -10/14
х = -5/7
9/(6х - 5) = (3х + 5)/2х
(6х - 5)(3х + 5) = 9 * 2х
18х² + 30х - 15х - 25 = 18х
18х² + 15х - 25 - 18х = 0
18х² - 3х - 25 = 0
а = 18; в = -3; с = -25
Д = в² - 4ас
Д = (-3)² - 4 * 18 * (-25) = 9 + 1800 = 1809
√Д = √1809 = 3√201
х1 = (-в - √Д)/2а
х1 = (3 - 3√201)/(2*18) = (3 - 3√201)/36 = (1 - √201)/12
х2 = (-в + √Д)/2а
х2 = (3 + 3√201)/(2*18) = (3 + 3√201)/36 = (1 + √201)/12