X² - 8 x + 7 = O
1. ) cari X1 X2 dengan rumus
2. ) Buktikan X1 + X2 = - b/a
3. ) buktikan X1 + X2 = C/a
tolong bantu dijawab ya kak. terimakasih
1. ) cari X1 X2 dengan rumus
2. ) Buktikan X1 + X2 = - b/a
3. ) buktikan X1 + X2 = C/a
tolong bantu dijawab ya kak. terimakasih
[tex]\displaystyle ax^2+bx+c=0\\x^2+\frac{b}{a}+\left ( \frac{b}{2a} \right )^2=-\frac{c}{a}+\left ( \frac{b}{2a} \right )^2\\\left ( x+\frac{b}{2a} \right )^2=\frac{b^2-4ac}{4a^2}\\x+\frac{b}{2a}=\pm \frac{\sqrt {b^2-4ac}}{2a}\\x_{1,2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\x_1=\frac{-b+ \sqrt{b^2-4ac}}{2a}~\textrm{atau}~x_2=\frac{-b- \sqrt{b^2-4ac}}{2a}[/tex]
x₁ + x₂ = -b/a
x₁ x₂ = c/a
x² - 8x + 7 = 0
x = [-b ± √(b² - 4ac)] / (2a)
= [8 ± √(64 - 4 × 1 × 7)] / (2 × 1)
x₁ = (8 + 6)/2 = 7 atau x₂ = (8 - 6)/2 = 1
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