roots of the equation x^2- 4x = - 7 are 2+3i and 2-3i
What are the natures of root of quadratic equation?
Case I: 
The roots of the quadratic equation 
are real and unequal when a, b, and c are real numbers, a 0, and the discriminant is positive.
Situation II: 
=0
The roots and of the quadratic equation are real and equal when a, b, and c are real numbers, a 0, and the discriminant is zero.
Case III: <0
The quadratic equation has roots when a, b, and c are real numbers, a 0, and the discriminant is negative, but these roots are not equal and are not real. We refer to the roots in this instance as fictitious.
Case IV: Perfect square and 
The roots of the quadratic equation are real, rational, and unequal when a, b, and c are real numbers, a 0, and the discriminant is positive and perfect square.
Quadratic Formula 
Here a = 1 , b = -4 , c = 7
using quadratic formula
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