If y = 2x2 + 9x – 35. Find the range of values for which y
-
A.
7 -
B.
-5 -
C.
-7 -
D.
-7
Correct Answer: Option D
Explanation
y = 2x2 + 9x – 35
2x2 + 9x = 35
x2 + (frac{9}{2}) = (frac{35}{2})
x2 + (frac{9}{2}) + (frac{81}{16}) = (frac{35}{2}) = (frac{81}{16})
(x + (frac{9}{4}))2 = (frac{361}{16})
x = (frac{-9}{4}) + (frac{sqrt{361}}{16})
x = (frac{-9}{4}) + (frac{19}{4})
= 2.5 or -7
-7
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