Answer:
The solutions are:
x = -5
x = -6
Explanation:
To get the solution, we can either use a graphical method or an algebraic method.
1- graphical method:
The solution of the equation would be the values of the x-intercept.
Graphing the equation (check attached image), we would find that the solutions are: -6 and -5
2- algebraic method:
The general formula of the quadratic equation is:
ax² + bx + c = 0
The given equation is:
x² + 11x + 30 = 0
By comparison:
a = 1
b = 11
c = 30
To get the roots, we will substitute in the quadratic formula (attached in the images)
Doing this, we will find that:
either x = [tex] \frac{-11 + \sqrt{(11)^2-4(1)(20)} }{2(1)} [/tex]= -5
or x = [tex] \frac{-11 - \sqrt{(11)^2-4(1)(20)} }{2(1)} [/tex] = -6
Hope this helps :)
