Answer:
[tex]\displaystyle The\:negative\:solution\:is\:between\:-2 \:and\:-3.[/tex]
[tex]\displaystyle The\:positive\:solution\:is\:between\:13\:and\:12.[/tex]
Step-by-step explanation:
Since this expression is unfactorable with rational numbers, apply the Quadratic Formula:
[tex]\displaystyle x = -b ± \frac{\sqrt{b^2 - 4ac}}{2a} \\ \\ x = 10 ± \frac{\sqrt{[-10]^2 - 4[1][-27]}}{2[1]} \\ \\ x = 10 ± \frac{\sqrt{100 + 108}}{2} \\ \\ x = 5 ± \sqrt{208} \\ \\ x = 5 ± 2\sqrt{13}[/tex]
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