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c² = a²+b²
(4x-9)² = (1x+6)²+(√81)²
16x²-72x+81 = x²+12x+36 + 81
16x²-72x = x²+12x+36
16x²-x²-72x-12x-36 = 0
15x²-84x-36 = 0
x= {84+-√(-84²-(4*15*-36))} / 2*15
x ={84+-√(7056+2160)} / 30
x = {84+-√9216} / 30
x = {84+-96} / 30
x = {84+96} / 30 = 180/30 = 6
x = 6
a = 1x+6 = 6+6 = 12
c = 4x-9 = (4*6)-9 = 24-9 = 15
Por tanto, los valores son:
x = 6
a = 12
c = 15
Saludos.............