A quadratic equation can have two real solutions, one real solution, or two complex solutions, none of them real.
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Most functions are not like linear equations.
When the equation is in one the following formats: ax2+ bx+c = 0 a(x+b)2+c = 0 (x+a)(x+b) = 0 than it is a quadric. It is also quadratic when x2 and only x2 is in it. example: x2 + 1= 0 and x2=0 are quadratic equations. However ax3+bx2+ cx+d =0 is not a quadratic, this is a cubic because of the x3 term, However you can use the quadric equation to find one of the two answers for it.
x = 4.74 or -2.74
The range is y >= 5.
It will touch it once.