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iragen [17]
3 years ago
14

Find the value of a square + b square when a+b = 8 and ab = 10

Mathematics
1 answer:
Ne4ueva [31]3 years ago
5 0

As we know,

\boxed{ \boxed{(a + b) {}^{2}  =  {a}^{2}  +  {b}^{2}  + 2ab}}

now, let's plug the given values to find a² + b²

  • (8) {}^{2}  =  {a}^{2}  +  {b}^{2}  + (2 \times 10)

  • 64 =   {a}^{2}  +  {b}^{2}  + 20

  • {a}^{2} +   {b}^{2}  = 64 - 20

  • a {}^{2} +  b {}^{2}  = 44
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