Possíveis valores de "a":
a) (raiz quadrada 2 e raiz quadrada 2)
b) (1- raiz quadrada 2 e 1 raiz quadrada 2)
c) (-2 e 2)
d) (-3 e 2)
e) -1 e 1
d² = (Ax - Bx)² + (Ay - By)²
(2a - 3)² + (3a - 2) = 26
4a² - 12a + 9 + 9a² - 12a + 4 = 26
13a² - 24a - 13 = 0
delta
d² = (-24)² - 4*13*(-13) = 1252 = 4*313
d = 2√313
a1 = (24 + 2√313)/26 = (12 + √313)/13
a2 = (24 - 2√313)/26 = (12 - √313)/13
pronto
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Verified answer
d² = (Ax - Bx)² + (Ay - By)²
(2a - 3)² + (3a - 2) = 26
4a² - 12a + 9 + 9a² - 12a + 4 = 26
13a² - 24a - 13 = 0
delta
d² = (-24)² - 4*13*(-13) = 1252 = 4*313
d = 2√313
a1 = (24 + 2√313)/26 = (12 + √313)/13
a2 = (24 - 2√313)/26 = (12 - √313)/13
pronto