If α and β are the roots of the equation, 7 x 2 - 3 x - 2 = 0 , then the value of α 1 - α 2 + β 1 - β 2 is equal to:

Question

If &#945; and &#946; are the roots of the equation, 7 x 2 - 3 x - 2 = 0 , then the value of &#945; 1 - &#945; 2 + &#946; 1 - &#946; 2 is equal to:

Aicharya · Accepted Answer

Given &#945; and &#946; are the roots of the equation, 7 x 2 - 3 x - 2 = 0 , then &#945; + &#946; = 3 7 &#160; ; &#160; &#945; &#946; = - 2 7 Now &#945; 1 - &#945; 2 + &#946; 1 - &#946; 2 = ( &#945; + &#946; ) - &#945; &#946; ( &#945; + &#946; ) 1 - &#945; 2 1 - &#946; 2 = ( &#945; + &#946; ) - &#945; &#946; ( &#945; + &#946; ) 1 + ( &#945; &#946; ) 2 - &#945; 2 + &#946; 2 &#8658; ( &#945; + &#946; ) - &#945; &#946; ( &#945; + &#946; ) 1 + ( &#945; &#946; ) 2 - ( &#945; + &#946; ) 2 + 2 &#945; &#946; = 3 7 + 2 7 3 7 1 + 2 7 2 - 3 7 2 - 2 2 7 = 27 16

If α and β are the roots of the equation, 7 x 2 - 3 x - 2 = 0 , then the value of α 1 - &#945…

Solution

If &#945; and &#946; are the roots of the equation, 7 x 2 - 3 x - 2 = 0 , then the value of &#945; 1 - &#945…

Solution

If α and β are the roots of the equation, 7 x 2 - 3 x - 2 = 0 , then the value of α 1 - &#945…