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Solve x² + 3x = 3 between 0 and 1 to 2 significant figures

Sagot :

Answer:

[tex]x_1\approx0.79,x_2\approx-3.79[/tex]

Step-by-step explanation:

[tex]x^2+3x=3[/tex]

[tex]x^2+3x-3=0[/tex]

[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

[tex]x=\frac{-3\pm\sqrt{(-3)^2-4(1)(-3)}}{2(1)}[/tex]

[tex]x=\frac{-3\pm\sqrt{9+12}}{2}[/tex]

[tex]x=\frac{-3\pm\sqrt{21}}{2}[/tex]

[tex]x_1\approx0.79,x_2\approx-3.79[/tex]

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