Question A.3: The equation x² + 5x + 4 = 0 has the following roots corresp...
The equation x² + 5x + 4 = 0 has the following roots corresponding to the two signs of the square-root term:
x=\frac{-5 \pm \sqrt{5^{2}-(4)(1)(4)}}{2(1)}=\frac{-5 \pm \sqrt{9}}{2}=\frac{-5 \pm 3}{2}
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x_{1}=\frac{-5+3}{2}=-1 \quad x_{2}=\frac{-5-3}{2}=-4
where x_{1} refers to the root corresponding to the positive sign and x_{1} refers to the root corresponding to the negative sign.
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