divide 24 into three parts such that they are in ap . their product is440
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let the terms be a-d, a, a+d
by question (a-d)+ a + (a+d)=24
=> 3a=24
=>a=6.......................................... (1)
now by another condition a(a+d)(a-d)=440
=> a(a²- d²) = 440
=> 6(36 - d²)= 440
=> 36-d²=440/6
=> -d²=440/6 - 36
=> -d² = 37.333
=> d=-6.110
thus a= 6 and d = -6 aritmatically....
by question (a-d)+ a + (a+d)=24
=> 3a=24
=>a=6.......................................... (1)
now by another condition a(a+d)(a-d)=440
=> a(a²- d²) = 440
=> 6(36 - d²)= 440
=> 36-d²=440/6
=> -d²=440/6 - 36
=> -d² = 37.333
=> d=-6.110
thus a= 6 and d = -6 aritmatically....
Answered by
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let the no are a-d,a, a+d
a-d+a+a+d=24
3a=24
a=8
(a-d)(a)(a+d)=440
(8-d)(8)(8+d)=440
8^2-d^2=440/8
64-d^2=55
-d^2=55-64
-d^2=-9
d=3
a-d+a+a+d=24
3a=24
a=8
(a-d)(a)(a+d)=440
(8-d)(8)(8+d)=440
8^2-d^2=440/8
64-d^2=55
-d^2=55-64
-d^2=-9
d=3
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