X^2 -3x + 0 = 0 Factor and solve
2 answers:
So if you subtract the 0 out from the left side, the equation is now 
. Since a x is common in both of the terms on the left side, you can factor it out, now making the equation look like 
. When factoring, each of the separate things (x and (x-3)), must equal zero while the other one doesn't matter. So in order for the equation to be 0, the only potential options for x is 0 and 3. Therefore x=0 and x=3 are the two solutions
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A quadratic function is a function of the form 
. The vertex, 
of a quadratic function is determined by the formula: 
and 
; where 
is the x-coordinate of the vertex and 
is the y-coordinate of the vertex. The value of 
determines if the <span>parabola opens upward or downward; if</span> is positive, the parabola<span> opens upward and the vertex is the minimum value, but if </span> is negative <span>the graph opens downward and the vertex is the maximum value. Since the quadratic function only has one vertex, it </span><span>could not contain both a minimum vertex and a maximum vertex at the same time.</span>