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Verified Answer :

1. x =(8-√76)/2=4-√ 19 = -0.359


2. x =(8+√76)/2=4+√ 19 = 8.359


(-0.359, 8.359) will be the solution set.

Step-by-step explanation:

The given equation is x² - 8x - 3 = 0

We have to get the solution set for the equation.

We will apply the quadratic formula to get the solution.

\(x=\frac{-b\pm \sqrt{b^{2}-4ac}}{2a}=\frac{8\pm \sqrt{64+4\times 3}}{2}=\frac{8\pm \sqrt{64+12}}{2}=\frac{8\pm \sqrt{76}}{2}=\frac{8\pm 2\sqrt{19}}{2}=4\pm \sqrt{19}\)

Therefore solution set of the equation will be

(-0.359, 8.359)

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