Question

If a+b=5 and a-b=4, find a²+b² and ab.
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Answer 1

Step-by-step explanation:

Please check the attachment above

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Answer 2

Step-by-step explanation:

a+b=5

squaring on both sides

${a}^{2} + {b}^{2} + 2ab = 25$

eqn 1

a-b=4

squaring on both sides

a²+b²-2ab=16 -------eqn 2

Adding eqn 1 and 2

2(a²+b²)=41

a²+b²=20.5

keep the above value in eqn 1

20.5+2ab=25

2ab=4.5

ab=2.25

hope this helps you

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