If a b=80°, then
find the value
of
a and b.
Answers
Answer:
If a-b=4 and a^2-b^2=80, then what is the average of a and b?
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The equation given to us is, a−b=4
So, by
Third(III) Identity of Algebraic Factorisation
a2−b2=(a+b)(a−b)
As per the Question —
(a+b)(a−b)=80
∴ Substituting a−b=4,
(a+b)×4=80
(a+b)=20
Since now we have two equations, we can add them to get the respective values of a and b .
∴(a+b)+(a−b)=20+4
a+b+a−b=24
2a=24 or a=12
Putting a=12 in any of the two equations —
(a+b)=20
12+b=20
b=8
Now, what we need is the average of a and b
So, Average=a+b2
∴ 12+82
=10
Good luck!
If a2−b2=21 and a2+b2=29 , then what is the value of ab ?
If a:b=2:3 and b:c=2:4 then a:b:c=?
If a2+b2+c4=2020 , then what is a+b+c ?
What's the formula of (a-b)² ?
A^2-b^2) =15 and a*b=-4, what is the value of (a-b) ^2?
a-b=4
a²-b²=80
(a+b)(a-b) / a-b=80/4=20
a+b=20
The average of a and b is a+b/2. So:
a+b/2=20/2
=10
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a^2 - b^2 = 80
(a + b)(a - b) = 80………..(1)
a-b = 4 ……………(2)
Substitute for a - b in(1)
4(a + b) = 80
a +b = 20
(a + b)/2 = 10 ………..average
Given that a-b = 4 and a^2-b^2 = 80.
a^2-b^2 = 80 = (a+b)(a-b) = 4(a+b)
So (a+b) = 80/4 = 20
So average of a and b = 20/2 = 10.
What is the formula of a^2-b^2?
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If a²-b²=19 then what is value of the term (a+b)² +(a-b)² ?
If a = 2 and b = 3, then what is the value of the following expression: (ab+ba)-1 ?
If a^2-b^2=4 and ab=2, what are a^2+b^2=?
You can rewrite a^2-b^2=80 as (a-b)(a+b)=80. Now you can just plug in a-b=4:
4(a+b)=80 becomes a+b=20. Since the average is (a+b)/2 we just divide this by 2 to get (a+b)/2=20/2=10.
The average of a and b is 10.
If a2−b2=21 and a2+b2=29 , then what is the value of ab ?
If a:b=2:3 and b:c=2:4 then a:b:c=?
If a2+b2+c4=2020 , then what is a+b+c ?
What's the formula of (a-b)² ?
A^2-b^2) =15 and a*b=-4, what is the value of (a-b) ^2?
What is the formula of a^2-b^2?
If a+b+c+d+e=8 and a²+b²+c²+d²+e²=16, what is the largest possible value of e?
If a²-b²=19 then what is value of the term (a+b)² +(a-b)² ?
If a = 2 and b = 3, then what is the value of the following expression: (ab+ba)-1 ?
If a^2-b^2=4 and ab=2, what are a^2+b^2=?
If A-b=5 and ab=12, what is a2+b2=?
What is (a+b) ²+(a-b) ²?
If a^2+b^2=117, ab=54, then what is the value of a+b/a-b?
If a3+b3=8 and a2+b2=4, what is the value of ab?
If (a²+b²)0.5=613 , then what is one value of (a+b)?
Answer:
80 = a+b
80= x+x
80= 2x
x = 80 ÷2
x = 40