Question

18. If (a - b) = 7 and ab = 9, then (a²+ b²) = ?
(a) 67
(b) 31
(c) 40
(d)58​

Answer 1

Answer:

a² + b² = (a - b)² +2ab

= 49 + 18

= 67

Step-by-step explanation:

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Answer 2

Answer:

67

Step-by-step explanation:

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

therefore a^2+b^2=(a+b)^2-2ab       .............1 st equation

then,(a-b)^2=(a+b)^2-4ab                   .............2 nd equation

from 2nd equation,   7^2=(a+b)^2-4*9

therefore (a+b)^2=85

from 1st equation,  a^2+b^2=85-2*9

                                              =67

So the answer is option a

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