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

Sagot :

DᴀʀᴋPᴀʀᴀᴅᴏxidn

As we know,

[tex] \boxed{ \boxed{(a + b) {}^{2} = {a}^{2} + {b}^{2} + 2ab}}[/tex]

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

  • [tex](8) {}^{2} = {a}^{2} + {b}^{2} + (2 \times 10)[/tex]

  • [tex]64 = {a}^{2} + {b}^{2} + 20[/tex]

  • [tex] {a}^{2} + {b}^{2} = 64 - 20[/tex]

  • [tex]a {}^{2} + b {}^{2} = 44[/tex]
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