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If the operation ∆ is defined by a∆b = (b-a)^2/a^2 for all n
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17 Apr 2020, 10:56
17 Apr 2020, 10:56
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If the operation ∆ is defined by \(a∆b = \frac{(b-a)^2}{a^2}\) for all number a and b, and \(a ≠ 0\), then \(-1∆(1∆ -1) =\)
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25
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Re: If the operation ∆ is defined by a∆b = (b-a)^2/a^2 for all n
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17 Apr 2020, 11:01
17 Apr 2020, 11:01
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Carcass wrote:
If the operation ∆ is defined by \(a∆b = \frac{(b-a)^2}{a^2}\) for all number a and b, and \(a ≠ 0\), then \(-1∆(1∆ -1) =\)
Show: :: OA
25
We want to find the value of -1∆(1∆ -1), so let's first deal with the part in brackets...
\(1∆-1 = \frac{((-1)-1 )^2}{ 1^2}= \frac{(-2)^2}{ 1^2}= \frac{4}{ 1}=4\)
So, -1∆(1∆ -1) = -1∆4
Now we need to find the value of -1∆4
\(-1∆4 = \frac{(4-(-1))^2}{(-1)^2}= \frac{5^2}{1}= \frac{25}{1}=25\)
Answer: 25
Cheers,
Brent
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Re: If the operation is defined by ab = (b-a)^2/a^2 for all n
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08 Aug 2022, 08:29
08 Aug 2022, 08:29
Given that a ∆ b = \(\frac{(b - a)^2}{a^2}\) and we need to find the value of − 1 ∆ (1 ∆ − 1)
Lets start by finding the value of 1 ∆ − 1
To find 1 ∆ − 1 we need to compare what is before and after ∆ in 1 ∆ − 1 and a ∆ b
=> We need to substitute a with 1 and b with -1 in a ∆ b = \(\frac{(b - a)^2}{a^2}\) to get the value of 1 ∆ − 1
=> 1 ∆ -1 = \(\frac{(-1 - 1)^2}{1^2}\) = \(\frac{(-2)^2}{1}\) = 4
=> − 1 ∆ (1 ∆ − 1) = − 1 ∆ 4
Similarly, -1 ∆ 4 = \(\frac{(4 - (-1))^2}{(-1)^2}\) = \(\frac{(5)^2}{1}\) = 25
So, Answer will be 25
Hope it helps!
Watch the following video to learn the Basics of Functions and Custom Characters
Lets start by finding the value of 1 ∆ − 1
To find 1 ∆ − 1 we need to compare what is before and after ∆ in 1 ∆ − 1 and a ∆ b
=> We need to substitute a with 1 and b with -1 in a ∆ b = \(\frac{(b - a)^2}{a^2}\) to get the value of 1 ∆ − 1
=> 1 ∆ -1 = \(\frac{(-1 - 1)^2}{1^2}\) = \(\frac{(-2)^2}{1}\) = 4
=> − 1 ∆ (1 ∆ − 1) = − 1 ∆ 4
Similarly, -1 ∆ 4 = \(\frac{(4 - (-1))^2}{(-1)^2}\) = \(\frac{(5)^2}{1}\) = 25
So, Answer will be 25
Hope it helps!
Watch the following video to learn the Basics of Functions and Custom Characters
