The solutions of the quadratic equation are 3 ± √ -49.
A quadratic equation is what can be written in the form of ax²+bx+c=0.
The quadratic equation is,
x² - 6x = -58
The equation can be written as,
x² - 6x +58 = 0
Now it is in the form of the standard equation.
To determine the solutions of the quadratic equations, the formula used is
x = ( -b ± √ (b² -4ac)) / 2a
The value of a = 1
The value of b = -6
The value of c = 58
Putting the values in the formula.
x = ( 6 ± √ ((-6)² -4 * 1 * (58))) / 2 * 1
x = ( 6 ± √ (36 -232) / 2
x = ( 6 ± √ (-196) / 2
x = 3 ± √ -49
This can be written as complex numbers
i = √-1
x = 3 ± 7i
To know more about Quadratic equations
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