Question-suppose-that-x-1-x-2-are-two-distinct-roots-for-ax-2-bx-c-0-on-0-1-find-the-minimum-value-of-a-a-min-

Question Number 163285 by mnjuly1970 last updated on 05/Jan/22

You can't use 'macro parameter character #' in math mode

s u p p o s e t h a t x_{1}, x_{2} a r e t w o d i s t i n c t

r o o t s f o r {a x}^{2} + b x + c = 0 o n (0, 1) .

f i n d t h e m i n i m u m v a l u e o f^{″} a^{″} :

a_{m i n} = ?

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Answered by ajfour last updated on 05/Jan/22

2 {a x}_{1} x_{2} + b (x_{1} + x_{2}) + 2 c = 0

2 c - \frac{b^{2}}{a} + 2 c = 0

\Rightarrow a = \frac{b^{2}}{4 c}

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