Question

If a and B are the roots of the quadratic equation 3x^2 - 5x + 4 =0, find the value of 1/alpba + 1/bita -2albha×bita
class 10 math quadratic equation ​

Answer 1

Step-by-step explanation:

3x^2-5x+4=0

then, roule of equation

α + β = -b/a

=-(-5)/3

= 5/3

αβ = c/a

= 4/3

= 1/α+1/β-2α•β

= 1/α+1/β-2•4/3

= β3/3α•β+α3/3α•β-8•α•β/3•α•β

=3β+3α-8α•β/3α•β

=( 3β+3α-8•4/3)/3•α•β

= (3β+3α-32/3)/3α•β

=(3β+3α-32/3)/3•4/3

= (3(α+β)-32/3)/4

= (3•5/3-32/3)/4

= (15/3-32/3)/4

= (-17/3)/4

= -17/3•4

= -17/12