# 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


Question and Answers Forum

All Questions Topic List
Algebra Questions
Previous in All Question Next in All Question
Previous in Algebra Next in Algebra
Question Number 163285 by mnjuly1970 last updated on 05/Jan/22

$You can't use 'macro parameter character #' in math mode$ $s u p p o s e t h a t x_{1}, x_{2} a r e t w o d i s t i n c t$ $r o o t s f o r {a x}^{2} + b x + c = 0 o n (0, 1) .$ $f i n d t h e m i n i m u m v a l u e o f^{″} a^{″} :$ $a_{m i n} = ?$ $- - - - - - - - -$
	Answered by ajfour last updated on 05/Jan/22

	$2 {a x}_{1} x_{2} + b (x_{1} + x_{2}) + 2 c = 0$ $2 c - \frac{b^{2}}{a} + 2 c = 0$ $\Rightarrow a = \frac{b^{2}}{4 c}$
Terms of Service
Privacy Policy
Contact: info@tinkutara.com

Question and Answers Forum