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標題:
Maths.
發問:
1) 2^a=3^b=6^c, find the value of 1/a+1/b.Ans:________2) Each of the angles of a triangle expressed in degrees is a perfect square . Find the three angles of the triangle .Ans: _________ and tell me why~3)-Y=X^2-5X+5-Z=X^2-12X+35-Y=1I think y=-1,x=4,z=-3錯?對?If wrong , tell me why... 顯示更多 1) 2^a=3^b=6^c, find the value of 1/a+1/b. Ans:________ 2) Each of the angles of a triangle expressed in degrees is a perfect square . Find the three angles of the triangle . Ans: _________ and tell me why~ 3)-Y=X^2-5X+5 -Z=X^2-12X+35 -Y=1 I think y=-1,x=4,z=-3 錯?對? If wrong , tell me why and tell me the answers ,please~ Quick !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
最佳解答:
1) 2^a=3^b=6^c [(2^a)^(1/a)] [(3^b)^(1/b)] = [(6^c)^(1/a)] [(6^c)^(1/b)] 2 * 3 = (6^c)^(1/a + 1/b) 6 = 6 ^ c(1/a + 1/b) 1 = c(1/a + 1/b) 1/c = 1/a + 1/b Ans:__1/c ______ 2)Perfect square less than 180 : 1 4 9 16 25 36 49 64 81 100 121 144 169 180 - 169 = 11 no sol. 180 - 144 = 36 no sol. 180 - 121 = 59 no sol. 180 - 100 = 80 = 16 + 64 , get a sol. : 16 + 64 + 100 = 180 3) - Y = X^2-5X+5 1 = x^2 - 5x + 5 x^2 - 5x + 4 = 0 (x - 1)(x - 4) = 0 x = 1 or x = 4 -Z=X^2-12X+35 when x = 4 : -Z = 16 - 12*4 + 35 = 3 Z = - 3 when x = 1 : -Z = 1 - 12*1 + 35 = 24 Z = - 24 你 miss 了 y = - 1 , x = 1 , Z = - 24
Maths.
發問:
1) 2^a=3^b=6^c, find the value of 1/a+1/b.Ans:________2) Each of the angles of a triangle expressed in degrees is a perfect square . Find the three angles of the triangle .Ans: _________ and tell me why~3)-Y=X^2-5X+5-Z=X^2-12X+35-Y=1I think y=-1,x=4,z=-3錯?對?If wrong , tell me why... 顯示更多 1) 2^a=3^b=6^c, find the value of 1/a+1/b. Ans:________ 2) Each of the angles of a triangle expressed in degrees is a perfect square . Find the three angles of the triangle . Ans: _________ and tell me why~ 3)-Y=X^2-5X+5 -Z=X^2-12X+35 -Y=1 I think y=-1,x=4,z=-3 錯?對? If wrong , tell me why and tell me the answers ,please~ Quick !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
最佳解答:
1) 2^a=3^b=6^c [(2^a)^(1/a)] [(3^b)^(1/b)] = [(6^c)^(1/a)] [(6^c)^(1/b)] 2 * 3 = (6^c)^(1/a + 1/b) 6 = 6 ^ c(1/a + 1/b) 1 = c(1/a + 1/b) 1/c = 1/a + 1/b Ans:__1/c ______ 2)Perfect square less than 180 : 1 4 9 16 25 36 49 64 81 100 121 144 169 180 - 169 = 11 no sol. 180 - 144 = 36 no sol. 180 - 121 = 59 no sol. 180 - 100 = 80 = 16 + 64 , get a sol. : 16 + 64 + 100 = 180 3) - Y = X^2-5X+5 1 = x^2 - 5x + 5 x^2 - 5x + 4 = 0 (x - 1)(x - 4) = 0 x = 1 or x = 4 -Z=X^2-12X+35 when x = 4 : -Z = 16 - 12*4 + 35 = 3 Z = - 3 when x = 1 : -Z = 1 - 12*1 + 35 = 24 Z = - 24 你 miss 了 y = - 1 , x = 1 , Z = - 24
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