Answer:
x = 0.88 OR x = -6.88
Step-by-step explanation:
Given the quadratic equation: [tex]x^{2}[/tex] + 6x - 6 = 0
Applying the quadratic formula to determine the solutions, we have:
x = (-b ± [tex]\sqrt{b^{2} - 4ac}[/tex]) / 2a
where; a = 1, b = 6 and c = -6
x = ( -6 ± [tex]\sqrt{6^{2} -4 (1 * -6) }[/tex]) / 2
= ( -6 ± [tex]\sqrt{36 + 24}[/tex]) / 2
= (-6 ± [tex]\sqrt{60}[/tex]) / 2
x = (-6 ± 7.75) / 2
So that,
x = (-6 + 7.75) / 2 OR x = (-6 - 7.75) / 2
x = [tex]\frac{1.75}{2}[/tex] OR [tex]\frac{-13.75}{2}[/tex]
x = 0.88 OR -6.88
Thus, the solutions are: x = 0.88 OR x = -6.88
