|x| = |y| ⇔ x² = y²
|x²-3x-8|=|x-3|
(x²-3x-8)²=(x-3)²
(x²-3x-8 -x+3)(x²-3x-8 + x-3) = 0
(x² -4x - 5)(x² -2x - 11) = 0
1. x² -4x - 5 = 0
D = 16 + 20 = 36
x₁₂ = (4 +- 6)/2 = -1 5
2. x² -2x - 11 = 0
D = 4 + 44 = 48
x₃₄ = (2 +- √48)/2 = (2 +- 4√3)/2 = 1+- 2√3
ответ (1 - 2√3, 1+ 2√3, -1, 5)
Пошаговое объяснение:
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Answers & Comments
|x| = |y| ⇔ x² = y²
|x²-3x-8|=|x-3|
(x²-3x-8)²=(x-3)²
(x²-3x-8 -x+3)(x²-3x-8 + x-3) = 0
(x² -4x - 5)(x² -2x - 11) = 0
1. x² -4x - 5 = 0
D = 16 + 20 = 36
x₁₂ = (4 +- 6)/2 = -1 5
2. x² -2x - 11 = 0
D = 4 + 44 = 48
x₃₄ = (2 +- √48)/2 = (2 +- 4√3)/2 = 1+- 2√3
ответ (1 - 2√3, 1+ 2√3, -1, 5)
Verified answer
Пошаговое объяснение:
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