If α ,   β ,   γ are the roots of x 3 - 2 x 2 + 3 x - 4 = 0 , then find ∑ α β ( α + β )

Question

If &#945; , &#160; &#946; , &#160; &#947; are the roots of x 3 - 2 x 2 + 3 x - 4 = 0 , then find &#8721; &#945; &#946; ( &#945; + &#946; )

Aicharya · Accepted Answer

x 3 - 2 x 2 + 3 x - 4 = 0 &#160; &#945; &#946; &#947; &#945; + &#946; + &#947; = 2 &#945; &#946; &#947; = 4 , &#8721; &#945; &#946; = 3 &#945; &#946; ( &#945; + &#946; ) + &#946; &#947; ( &#946; + &#947; ) + &#947; &#945; ( &#947; + &#945; ) &#945; &#946; ( 2 - &#947; ) + &#946; &#947; ( 2 - &#945; ) + &#947; &#945; ( 2 - &#946; ) = 2 &#8721; &#945; &#946; - 3 &#945; &#946; &#947; = 2 ( 3 ) - 3 &#215; 4 = - 6

If α ,   β ,   γ are the roots of x 3 - 2 x 2 + 3 x - 4 = 0 , then find ∑…

Solution

If &#945; , &#160; &#946; , &#160; &#947; are the roots of x 3 - 2 x 2 + 3 x - 4 = 0 , then find &#8721;…

Solution

If α , β , γ are the roots of x 3 - 2 x 2 + 3 x - 4 = 0 , then find ∑…