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znania28
@znania28
October 2021
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помогите пожалуйста решить номер 87
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Verified answer
Y = 2x - 11
(x-y)(x+y) = 32
(x - 2x+11)(x + 2x-11) = 32
(-x+11)(3x-11) = 32
-3x² + 44x - 121 - 32 = 0
3x² - 44x + 153 = 0
D=44²-4*3*153=4(121*4-153*3)=4*25=10²
x(1;2) = (44±10)/6
x1 = 9
x2 = 17/3
y1 = 18-11 = 7
y2 = (34-33)/3 = 1/3
--------------------------- (9; 7); (17/3; 1/3)
9a + 7 = 6
9a = -1 ---> a = -1/9 не целое)))
(17a/3) + (1/3) = 6
17a + 1 = 18
17a = 17
a=1
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Answers & Comments
Verified answer
Y = 2x - 11(x-y)(x+y) = 32
(x - 2x+11)(x + 2x-11) = 32
(-x+11)(3x-11) = 32
-3x² + 44x - 121 - 32 = 0
3x² - 44x + 153 = 0
D=44²-4*3*153=4(121*4-153*3)=4*25=10²
x(1;2) = (44±10)/6
x1 = 9
x2 = 17/3
y1 = 18-11 = 7
y2 = (34-33)/3 = 1/3
--------------------------- (9; 7); (17/3; 1/3)
9a + 7 = 6
9a = -1 ---> a = -1/9 не целое)))
(17a/3) + (1/3) = 6
17a + 1 = 18
17a = 17
a=1