If-the-point-2-p-and-2-q-lie-on-the-graph-y-x-3-ax-2-bx-c-and-q-p-3-then-what-the-value-of-b-

Question Number 105345 by bemath last updated on 28/Jul/20

I f t h e p o i n t (\sqrt{2}, p) a n d (- \sqrt{2}, q)

l i e o n t h e g r a p h y = x^{3} + {a x}^{2} + b x + c

a n d q - p = 3, t h e n w h a t t h e

v a l u e o f b ?

Answered by ajfour last updated on 28/Jul/20

p = 2 \sqrt{2} + 2 a + b \sqrt{2} + c

q = - 2 \sqrt{2} + 2 a - b \sqrt{2} + c

s u b t r a c t i n g

- 3 = 2 \sqrt{2} (b + 2) \Rightarrow b = - 2 - \frac{3 \sqrt{2}}{4}

b = - [2 + \frac{3}{4} (\sqrt{2})] .

Commented by bemath last updated on 28/Jul/20

c o o l l \dots

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