Question

solve for x:x^2-2(a+2)x+(a+1)( a+3)=0

Answer 1

Dear Student,   

Please find below the solution to the asked query :

x2−2(a+2)x + (a+1)(a+3) = 0We have, A = 1; B = −2(a+2); C = (a+1)(a+3)Now, D = B2−4AC=4(a+2)2 − 4(a+1)(a+3)=4[a2+4+4a−a2−4a−3]D=4 > 0Now, by quadratic formula,       x = −B+D√2A  and  x = −B−D√2A⇒x = 2(a+2)+22  and x = 2(a+2)−22⇒x = a+3   and  x = a+1

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Answer 2

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