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# ${x}^{2} + 2x = 8$

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Can anyone use the p-q formula to solve this equation?

$$x^2 + 2x = 8$$

Nov 14, 2021

#1
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Hello Guest,

Can anyone use the p-q formula to solve this equation?

$$x^2+2x=8$$

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the p-q formula: $$x_1 \mbox { and } x _2 = -\frac{p}{2} \pm \sqrt{\Big(\frac{p}{2}\Big)^2-q}$$ .

$$x^2 + 2x = 8 \ |\ -8$$

. . . let $$(p, \mbox { } q) = (2, \mbox { } -8)$$ .

$$x_1 \mbox { and } x_2 = \frac{-2}{2} \pm \mbox {} \sqrt{\Big(\frac{2}{2}\Big)^2-(-8)}$$

$$x_1 \mbox { and } x_2 = -1 \pm \mbox {} \sqrt{ 1 + 8 }$$

$$x_1 = -1 + 3$$

$$x _1 = 2$$

$$x_2 = -1 - 3$$

$$x_2 = -4$$

This equation has two solutions, namely $$x_1 = 2$$ and $$x_2 = -4$$ .