find-the-equation-whose-roots-are-and-find-and-if-2-and-2-2-3-

Question Number 132358 by Engr_Jidda last updated on 13/Feb/21

f i n d t h e e q u a t i o n w h o s e r o o t s a r e

α a n d β . f i n d α a n d β i f α - β = 2 a n d α^{2} - β^{2} = 3

Commented by Dwaipayan Shikari last updated on 13/Feb/21

x^{2} - (α + β) x + α β = 0 \Rightarrow x^{2} - \frac{3}{2} x + \frac{7}{16} = 0

(α - β) (α + β) = 3 \Rightarrow α + β = \frac{3}{2} \land α - β = 2

α = \frac{7}{4} β = - \frac{1}{4}

Commented by Engr_Jidda last updated on 13/Feb/21

t h a n k y o u s i r