SOLUTION: Please help me answer this question: Show that for all real values of 'a' greater than 4. X^2-2X+a=3 will have non-real roots.

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Question 948572: Please help me answer this question: Show that for all real values of 'a' greater than 4. X^2-2X+a=3 will have non-real roots.
Answer by josgarithmetic(39615) About Me  (Show Source):
You can put this solution on YOUR website!
Put equation into general form and use discriminant less than zero. Solve for a.

x%5E2-2x%2B%28a-3%29=0

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Discriminant required
%28-2%29%5E2-4%2A1%2A%28a-3%29%3C0
4-4%28a-3%29%3C0
1-%28a-3%29%3C0
1-a%2B3%3C0
4-a%3C0
a-4%3E0 multiplied by NEGATIVE 1.
a%3E4----------shown.