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Ogris
@Ogris
August 2021
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Пифагор. Любое из этих заданий.
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svetazuna
А, в - катеты,
с - гипотенуза,
с² = а² + в²
⇵⇅
с = √(а² + в²),
а = √(с² - в²),
в = √(с² - а²),
162.
х = √((2х)² - (7√3)²),
х² = (√((2х)² - (7√3)²)²,
х² = (2х)² - (7√3)²,
х² = 4х² - 49*3,
х² - 4х² = -147,
-3х² = -147,
х² = 49,
х =
7 (Е),
163.
х = √((2х)² - (5√3)²),
х² = (√((2х)² - (5√3)²)²,
х² = (2х)² - (5√3)²,
х² = 4х² - 25*3,
х² - 4х² = -75,
-3х² = -75,
х² = 25,
х =
5 (Е),
164.
х = √((2х)² - (2√3)²),
х² = (√((2х)² - (2√3)²)²,
х² = (2х)² - (2√3)²,
х² = 4х² - 4*3,
х² - 4х² = -12
-3х² = -12,
х² = 4,
х =
2 (С),
165.
х = √((2х)² - (3√3)²),
х² = (√((2х)² - (3√3)²)²,
х² = (2х)² - (3√3)²,
х² = 4х² - 9*3,
х² - 4х² = -27,
-3х² = -27,
х² = 9,
х =
3 (Д),
166.
(х+2)² = х² + 6²,
х² + 4х + 4 = х² + 36,
х² - х² + 4х = 36 - 4,
4х = 32,
х = 8
(А)
1 votes
Thanks 1
Ogris
Спасибо большое
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Answers & Comments
с - гипотенуза,
с² = а² + в²
⇵⇅
с = √(а² + в²),
а = √(с² - в²),
в = √(с² - а²),
162.
х = √((2х)² - (7√3)²),
х² = (√((2х)² - (7√3)²)²,
х² = (2х)² - (7√3)²,
х² = 4х² - 49*3,
х² - 4х² = -147,
-3х² = -147,
х² = 49,
х = 7 (Е),
163.
х = √((2х)² - (5√3)²),
х² = (√((2х)² - (5√3)²)²,
х² = (2х)² - (5√3)²,
х² = 4х² - 25*3,
х² - 4х² = -75,
-3х² = -75,
х² = 25,
х = 5 (Е),
164.
х = √((2х)² - (2√3)²),
х² = (√((2х)² - (2√3)²)²,
х² = (2х)² - (2√3)²,
х² = 4х² - 4*3,
х² - 4х² = -12
-3х² = -12,
х² = 4,
х = 2 (С),
165.
х = √((2х)² - (3√3)²),
х² = (√((2х)² - (3√3)²)²,
х² = (2х)² - (3√3)²,
х² = 4х² - 9*3,
х² - 4х² = -27,
-3х² = -27,
х² = 9,
х = 3 (Д),
166.
(х+2)² = х² + 6²,
х² + 4х + 4 = х² + 36,
х² - х² + 4х = 36 - 4,
4х = 32,
х = 8 (А)