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):
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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