book Maths Puzzle Numerical Ability

Without drawing a graph how can I determine (a) how many x-intercepts the parabola has (b) whether its vertex is above, below or on the x- axis?


y = -x^2 + 2x-1

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book Other Question

I am having problems setting up this problem. The sum of the digits in a two digit number is 8. When the digits are reversed, the new number is 8 less than the original number. What is the original number? Write in scientific notation.

75,000,000