The value of x in the given quadratic equation is determined as -7 ± 8i.
Solution of the quadratic equation
The solutiion to the linear equation is determined as follows;
x² + 14x + 17 = -96
x² + 14x + 17 + 96 = 0
x² + 14x + 113 = 0
solve the equation using formula method;
a = 1, b = 14, c = 113
[tex]x = \frac{-b \ \ \pm\sqrt{b^2 - 4ac} }{2a} \\\\x = \frac{- 14\ \ \pm\sqrt{(14)^2 - 4(1\times 113)} }{2(1)} \\\\x = \frac{- 14\ \ \pm\sqrt{-256} }{2}\\\\x = \frac{- 14\ \ \pm\sqrt{256} \times \sqrt{-1} }{2}\\\\x = \frac{-14 \ \ \pm 16 \times i}{2} \\\\x = -7 \pm 8i[/tex]
Thus, the value of x in the given quadratic equation is determined as -7 ± 8i.
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