Question

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

Answer 1

Answer:

$x_1\approx0.79,x_2\approx-3.79$

Step-by-step explanation:

$x^2+3x=3$

$x^2+3x-3=0$

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

$x=\frac{-3\pm\sqrt{(-3)^2-4(1)(-3)}}{2(1)}$

$x=\frac{-3\pm\sqrt{9+12}}{2}$

$x=\frac{-3\pm\sqrt{21}}{2}$

$x_1\approx0.79,x_2\approx-3.79$