Resposta :
(ax+5)^2 + (b-2x)^2 = 13x^2 + 42x + 34
a^2x^2 + 10ax + 25 + b^2 - 4bx + 4x^2 = 13x^2 + 42x + 34
(a^2 +4)x^2 + (10a - 4b)x + 25 = 13x^2 + 42x + 34
a^2 + 4 = 13 ==> a^2 = 9 ==> a= +/- 3
10a - 4b = 42
a1=3 ==> 10.3 - 4b1 =42 ==> 4b1 = - 42 + 30==> 4b1 = - 12 ==> b1 = - 3
a2= - 3 ==> 10.(-3) - 4b2 =42 ==> 4b2 = - 42 - 30==> 4b2 = - 72 ==> b2 = - 18
a^2x^2 + 10ax + 25 + b^2 - 4bx + 4x^2 = 13x^2 + 42x + 34
(a^2 +4)x^2 + (10a - 4b)x + 25 = 13x^2 + 42x + 34
a^2 + 4 = 13 ==> a^2 = 9 ==> a= +/- 3
10a - 4b = 42
a1=3 ==> 10.3 - 4b1 =42 ==> 4b1 = - 42 + 30==> 4b1 = - 12 ==> b1 = - 3
a2= - 3 ==> 10.(-3) - 4b2 =42 ==> 4b2 = - 42 - 30==> 4b2 = - 72 ==> b2 = - 18