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Sagot :
[tex]x^2-11x+14=0 \\ \\
a=1 \\ b=-11 \\ c=14 \\ b^2-4ac=(-11)^2-4 \times 1 \times 14=121-56=65 \\
x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}=\frac{-(-11) \pm \sqrt{65}}{2 \times 1}=\frac{11 \pm \sqrt{65}}{2} \\
\boxed{x=\frac{11 - \sqrt{65}}{2} \hbox{ or } x=\frac{11+\sqrt{65}}{2}}[/tex]
x² - 11x + 14 = 0
x = -(-11) +/- √((-11)² - 4(1)(14))
2(1)
x = 11 +/- √(121 - 56)
2
x = 11 +/- √(65)
2
x = 11 +/- 8.062257748
2
x = 11 + 8.062257748 x = 11 - 8.062257748
2 2
x = 19.062257748 x = 2.937742252
2 2
x = 1.906225775 x = 1.468871126
x = -(-11) +/- √((-11)² - 4(1)(14))
2(1)
x = 11 +/- √(121 - 56)
2
x = 11 +/- √(65)
2
x = 11 +/- 8.062257748
2
x = 11 + 8.062257748 x = 11 - 8.062257748
2 2
x = 19.062257748 x = 2.937742252
2 2
x = 1.906225775 x = 1.468871126
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