Question

${x}^{2} - 10x - 34 = 0$
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Answer 1

Aplicando a fórmula de Bhaskara:

$x=\frac{-b ±\sqrt{b^2-4ac}}{2a}\\x=\frac{-(-10) ± \sqrt{(-10)^2-4.1.(-34)} }{2.1}\\x=\frac{10 ± \sqrt{100+136}}{2}\\x=\frac{10 ±\sqrt{236}}{2}\\x=\frac{10 ± 2\sqrt{59}}{2}\\x=5 ± \sqrt{59}$

Portanto, teremos dois resultados:

$x_{1}=5+\sqrt{59}\\x_{2}=5-\sqrt{59}$