What-s-the-value-of-a-for-which-x-2-x-a-amp-x-2-3x-2-a-have-one-root-common-

Question Number 161558 by Rasheed.Sindhi last updated on 19/Dec/21

{W h a t}^{'} s t h e v a l u e o f a f o r w h i c h

x^{2} + x = a & x^{2} - 3 x + 2 = a h a v e o n e

r o o t c o m m o n ?

Answered by MJS_new last updated on 19/Dec/21

{we}^{'} ve got 2 equations for 2 unknowns, just

solve the system

(1) x^{2} + x - a = 0

(2) x^{2} - 3 x - a + 2 = 0

(1) - (2)

4 x - 2 = 0 \Rightarrow x = \frac{1}{2}

\Rightarrow a = \frac{3}{4}

Commented by Rasheed.Sindhi last updated on 19/Dec/21

\cap i \subset\in! T han k s sir .