The solutions for the given quadratic equation are:
[tex]x = 8 \pm i[/tex]
How to find the solutions of the quadratic equation?
Here we have the quadratic equation:
[tex]x^2 = 16x - 65[/tex]
We can rewrite it as:
[tex]x^2 - 16x + 65 = 0[/tex]
Using Bhaskara's formulas, we get:
[tex]x = \frac{-(-16) \pm \sqrt{(-16)^2 - 4*65} }{2} \\\\x = \frac{16 \pm \sqrt{(-4)} }{2}[/tex]
Now, remember that:
[tex]\sqrt{-1} = i[/tex]
Then we can rewrite:
[tex]x = \frac{16 \pm \sqrt{-1} *\sqrt{4} }{2}\\\\x = 8 \pm i[/tex]
If you want to learn more about quadratic equations:
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