SOLUTION: If y = 2x² - 5x + 3 is expressed in the form y = p(x + q)² + r, where p, q and r are constants, find (q + r).

Question 1145766: If y = 2x² - 5x + 3 is expressed in the form y = p(x + q)² + r, where p, q and r are constants, find (q + r).
Found 2 solutions by josgarithmetic, solver91311:
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
duplicate

Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Complete the square on the general form quadratic:

Factor the lead coefficient out of the quadratic and linear terms:

Divide the linear term coefficient by two, square the result, add the squared result inside the parentheses and subtract the lead coefficient times the squared result outside the parentheses:

Now the parentheses contain a perfect square quadratic, so:

So , , and

You can do the rest of the arithmetic.

John

My calculator said it, I believe it, that settles it

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