The value of ax2 + bx + c at –bx a is___(a) a (b) b2 – 4ac(c) c (d) 0
Question
The value of ax2 + bx + c at –bx a is___(a) a (b) b2 – 4ac(c) c (d) 0
Solution
The given expression is ax^2 + bx + c. We are asked to find the value of this expression at x = -b/a.
Substitute x = -b/a into the expression:
a(-b/a)^2 + b(-b/a) + c = a(b^2/a^2) - b^2/a + c = b^2/a - b^2/a + c = c
So, the value of ax^2 + bx + c at x = -b/a is c. Therefore, the answer is (c).
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