x squared + 6x+5
you will havae to facter the trinomial
Set it equal to zero.
x^2 + 6x + 5 = 0
Use "completing the square." ax^2 + bx + c = 0
x^2 + 6x = -5
Add (1/2 b/a)^2, (1/2 6/1)^2, (1/2 * 6)^2, 3^2
x^2 + 6x + 3^2 = -5 + 3^2
x^2 + 6x + 3^2 = -5 + 9
x^2 + 6x + 3^2 = 4
Factor the left side.
(x + 3)(x + 3) = 4
Take the square root of both sides.
x + 3 = ±2
Now, we have
x + 3 = 2 and x + 3 = -2
x = -1 and x = -5
A graph of the equation crosses the x-axis
at (-1, 0) and (-5, 0)