Suppose the quardratic polynomial PLUS - 9224 butČ has positive Coefficients apb, C in AP in that order II pcu 20 has integers r oad & and then 2+B+ XBO equals to

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( P(x)=a^{x^{2}+b^{x+c}}+v e^{i n} ) ( (a+d)^{2}-4 a(a+d) geqslant 0 p(x)=0 ) ( (1+k)^{2}-4(1+2)^{2}=10^{circ} quad alpha+beta=-frac{b}{a} quad, quad alpha beta=frac{c}{a} ) ( frac{k^{2}-6 k-3 geqslant 0}{(k-63)^{2}-12 mid geqslant 0} quad alpha+beta=-1-frac{d}{a} quad alpha B=1+2 frac{d}{a} ) Ithas to beperfect thas to roots to al =Ka Square, because roots 10 be integer. [ begin{array}{l}alpha+beta+alpha beta=-1-k+alpha+2 k alpha+beta+alpha beta=k=1end{array} ] ( (k-63)^{2}-12=alpha_{1}^{2} quad alpha in I ) ( frac{(k-6)^{2}}{16}=frac{alpha_{1}^{2}}{4}+12 ) ( therefore quadleft(K-frac{63}{K}=frac{4}{15} 7^{2}right. )

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