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Does a parabola always have 2 x intercepts?
No, if the vertex of the parabola is (0, 0) it will only have one x intercept. The parabola might have zero x intercepts as well. For example: Y= x^2 + 1 would never touch the x line.
How many complex number solutions can exist for a quadratic equation?
Quadratic equations always have 2 solutions. The solutions may be 2 real numbers (think of a parabola crossing the x axis at 2 different points) or it could have a "double root" real solution (think of a parabola just touching the x-axis at its vertex), or it can have complex roots (which will be complex conjugates of each other). For the last scenario, the graph of the parabola will not touch the x axis.
Y equals x2-12x plus 38?
It is a parabola which doesn't touch the X-axis. i.e., It has no real roots.
How do you solve y equals 6x squared?
y=6x² is already solved. the parabola will touch the x-axis at x=0.
Does a triangle need to be completely in the circle to be inscribed?
yes ...all the angles of the triangle must touch a spot on the circle..
