The roots of the equation are imaginary numbers, 5+6i, 5-6i.
What is a Quadratic Equation?
A quadratic equation is what can be written in the form of ax²+bx+c=0
The quadratic equation is
x² -10x = -34
x² -10x +34 = 0
The roots formula for a quadratic equation is given by
[tex]x = \dfrac{ -b \pm \sqrt{b^2 -4ac}}{2a}[/tex]
Here a = 1
b = -10
c = 34
The roots of the equation are
[tex]x = \dfrac{ 10 \pm \sqrt{(-10)^2 -4*34}}{2}[/tex]
[tex]\rm x = \dfrac{ 10 \pm \sqrt{-36}}{2}\\\\\\x = 5 \pm 6i[/tex]
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