SOLUTION: Find the values for a for which the graph y=a^2x^2-2ax-a+1 1) crosses the x-axis 2) does not cross the x-axis

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Question 1136706: Find the values for a for which the graph y=a^2x^2-2ax-a+1
1) crosses the x-axis
2) does not cross the x-axis

Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!


1) crosses the x-axis
2) does not cross the x-axis

use discriminant D=b^2-4ac
if we have zeros
if we have zeros




find
..simplify
-> put it in calculator and you will get

now try with which is greater then


find x-intercepts:


=> or
check the graph to see x-intercepts



and

if we have two zeros; means there are no x-intercepts

choose any value of greater than : try with







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