Question

if f(x) = 2x²+x-6 , Find :-)

(i) 1/α+1/β

(ii) α²+β²​

Answer 1

Answer:

Answer in the attachment.

Answer 2

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⇥$f(x)= {2x}^{2}- 6$

⇥${2x}^{2} -x - 6 = 0$

⇥${2x}^{2} -4x+ 3x - 6 = 0$

⇥$2x(x-2) +3(x - 2) = 0$

⇥$(x - 2)(2x + 3) = 0$

⇥$(x - 2) = 0: x = 2$

⇥$2x + 3 = 0 ; x = - 3/2$