Question

if a-b=7 and ab=9,then a square +b square=

Answer 1

(a-b)^2=(a+b)^2-4ab
(7)^2=(a+b)^2-4(9)
49+36=(a+b)^2
(a+b)^2=85
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Answer 2

Answer:

a²+b² = 67

Explanation:

Given a-b=7 ----(1)

ab = 9 -----(2)

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we know that ,

a²-2ab+b² = (a-b)²

Or

a²+b² = (a-b)²+2ab

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Now,

a²+b²

= (a-b)²+2ab

= 7²+2×9 /* from (1)&(2) */

= 49+18

= 67

Therefore,

a²+b² = 67

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