Persamaan kuadrat mc009-1.jpg mempunyai dua akar mc009-2.jpg dan mc009-3.jpg. Jika mc009-4.jpg , maka nilai konstanta c adalah
Jawaban:
Penjelasan:
[tex]\displaystyle x_2 = \dfrac{x_1^2}{2} \to c = 2\cdot x_1x_2 = x_1^3\\2x_1^2+x_1 + x_1^3 = 0\\x_1(x_1^2+2x_1+1) = 0\\x_1(x_1+1)^2 = 0 \to x_1 = -1\cup 0\\x_1+x_2 = -\dfrac{1}{2}\\2x_1+2x_2 = -1\\x_1^2+2x_1+1 = 0 \to x_1 = -1 \cap( x_1 = -1\cup 0)\to x_1 = -1\\\\\\\boxed{\boxed{c = -1}}[/tex]
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