Math, asked by revanthpenjarla, 2 months ago

If X1, X2 are the roots of the quadratic equation ax? +bx+c = 0 and C+0, find the value of (ax, +b) ? +(ax, +b)? in terms of a, b, c. b р​

Answers

Answered by ITZURADITYATYAKING
32

Answer:

Given x 1 ,x 2 are the roots of ax

2 +bx+c=0⟹ax+b=− x

cax 1

+b=− x 1

c ,ax 2

+b=− x

2c⟹x 1 +x2

=− ab ,x1 x 2 = acx 12 +x 22 =(x 1 +x 2 ) 2 −2x 1 x 2a

b2 − a 2c = a 2b 2 −2ac

(ax +b) −2 +(ax

2 +b)

−2 =(− x 1c )

−2 +(− x 2c )

−2 =

c 2 x 12

+x 22

= a 2

c2 b 2−2ac

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