Melengkap kan kuadrat sempurna 2x^-5x-3=0.... Question from @girlutami

girlutami @girlutami

October 2018 2 16 Report

Melengkap kan kuadrat sempurna 2x^-5x-3=0

dindajgshock 2x² - 5x - 3 = 0
(2x + 1)(x - 3) = 0
2x = -1 atau x = 3
x = -1/2

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girlutami mbak ini bknnya cara memfaktorkan ?

Takamori37 $$\begin{align}2x^2-5x-3&=0 \\ 2\left[x^2-\frac{5}{2}x-\frac{3}{2}\right]&=0 \\ x^2-\frac{5}{2}x-\frac{3}{2}&=0 \\ x^2-2.\frac{5}{4}x-\frac{3}{2}&=0 \\ \left[x^2-2.\frac{5}{4}x+\left(\frac{5}{4}\right)^2\right]&=\frac{3}{2}+\left(\frac{5}{4}\right)^2 \\ \left[x-\frac{5}{4}\right]^2&=\frac{3}{2}+\frac{25}{16} \\ \left[x-\frac{5}{4}\right]^2&=\frac{24+25}{16} \\ x-\frac{5}{4}&=\pm\sqrt{\frac{49}{16}} \\ x-\frac{5}{4}&=\pm\frac{7}{4} \\ x&=\frac{5}{4}\pm\frac{7}{4} \\ x&=\frac{5\pm7}{4} \end{align}$
Sehingga,
x₁ = (5-7)/4 = -2/4 = -1/2
x₂ = (5+7)/4 = 12/4 = 3

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Sebanyak 5,3 gram natrium karbonat (Mr = 106) bereaksi dengan asam florida berlebih menurut reaksi : Na₂CO₃+2HCl ⇒2NaCl+H₂O+CO₂ pada suhu dan tekanan yang sama, 1 liter gas NO massanya 1 gram gas CO₂ yang dihasilkan mempunyai volume............ (Ar N= 14, O = 16)

Memfaktor kan 2 x^ -5x-3=0

Contoh keadilan distributif

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