Answer:
The correct answer option is B) x equals quantity of negative 7 plus or minus I square root of 3 all over 2.
Step-by-step explanation:
We are given the following quadratic equation:
[tex]x^2-7x=-13[/tex]
Taking the constant on the same side as the variable to get:
[tex]x^2-7x+13=0[/tex]
Since, it cannot be factorized so we will use the quadratic formula:
x = [tex]\frac{-2+-\sqrt{b^2-4ac} }{2a}[/tex]
Substituting in the values of a, b and c in the above formula to get:
x= [tex]\frac{-(-7)+-\sqrt{(-7)^2-4(1)(13)} }{2(1)}[/tex]
x = [tex]\frac{7}{2} + i\frac{\sqrt{3} }{2}[/tex], x = [tex]\frac{7}{2} - i\frac{\sqrt{3} }{2}[/tex]
Therefore, the correct answer option is B) x equals quantity of negative 7 plus or minus I square root of 3 all over 2.
