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TheGunth
@TheGunth
July 2022
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[tex]( a^{2}-5)^{2} -(2a+3)^{2}=0 [/tex] найти чему равен а
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Света19999
Verified answer
(a^2 - 5)^2 - (2a + 3)^2 = 0
(a^2 - 5 - 2a - 3)(a^2 - 5 + 2a + 3) = 0
a^2 - 2a - 8 =0
D1 = 1 + 8 = 9
x1 = 1 + 3 = 4
x2 = 1 - 3 = -2
a^2+ 2a - 2 = 0
D1 = 1 + 2 = 3
x3 = -1 + √3
x4 = -1 - √3
1 votes
Thanks 2
TheGunth
Спасибо большое!
Света19999
не за что)))
Yak73
Света, объясни, пожалуйста, неучу, как ты так квадрат разности раскрыла?
Света19999
(a-b)^2 - (d+c)^2 = (a-b + (d+c))(a-b- (d+c) = (a-b + d+ c)(a - b - d - c)
Yak73
спасибо
Света19999
))
Yak73
не встречал нигде раньше эту формулу..где вы ее взяли?
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Answers & Comments
Verified answer
(a^2 - 5)^2 - (2a + 3)^2 = 0(a^2 - 5 - 2a - 3)(a^2 - 5 + 2a + 3) = 0
a^2 - 2a - 8 =0
D1 = 1 + 8 = 9
x1 = 1 + 3 = 4
x2 = 1 - 3 = -2
a^2+ 2a - 2 = 0
D1 = 1 + 2 = 3
x3 = -1 + √3
x4 = -1 - √3