Question

if (a-b)=3and ab =10 then find the value of a^2+ab+b^2​

Answer 1

Answer:

This is your solution.

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Answer 2

Answer:

a-b=3

a=3+b

ab=10

(3+b)b=10

$b {}^{2} + 3b - 10 = 0 \\ b {}^{2} + 5b - 2b - 10 = 0 \\ b(b + 5) - 2(b + 5) = 0 \\ (b - 2)(b + 5) = 0 \\ b = 2 \: b = - 5$

a-b=3

a-2=3

a=5

$a {}^{2} + ab + b {}^{2} = (5) {}^{2} + 5 \times 2 + (2) {}^{2} \\ answer \: is \: 39$