With our equation, plug in the values:
[tex]x=\frac{4\pm \sqrt{(-4)^2-4*1*13}}{2*1}[/tex]
Next, solve the exponent and multiplications:
[tex]x=\frac{4\pm \sqrt{16-52}}{2}[/tex]
Next, solve the subtraction:
[tex]x=\frac{4\pm \sqrt{-36}}{2}[/tex]
Next, factor out i (i = √-1):
[tex]x=\frac{4\pm \sqrt{36}i}{2}[/tex]
Next, solve the square root:
[tex]x=\frac{4\pm 6i}{2}[/tex]
Lastly, divide and your answer is:
[tex]x=2\pm 3i[/tex]
x = [ -(-4) +/- sqrt ( (-4)^2 - 4*1*13) ] / 2
x = (4 + sqrt -36) / 2 , (4 - sqrt -36) / 2
x = (4 + 6i) / 2 , (4 - 6i) 2
x = 2 + 3i , 2 - 3i Answer
