Question

if a minus b is equal to 10 ab is equal to 11 find the value of a + b​

Answer 1

Answer:

12

Given: a-b=10

ab =11

To find: Value of a+b

Solution:

(a-b)^2= 10^2

a^2+b^2+2ab=100

a^2+b^2+2(11)=100

a^2+b^2=100+22

a^2+b^2=122

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Now we know that,

(a^2+b^2+2ab)=(a+b)^2

Values of

a^2+b^2=122

ab=11

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So,

122+2(11)=(a+b)^2

144=(a+b)^2

So, a+b= √144

a+b=12

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So value of a+b=12

Hope it helps.....

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