Question

If a-b=14,ab=8 find a^2+b^2​

Answer 1

Here,

a-b=14

ab=8

we know that,

`\tt{(a-b)^2=a^2+b^2-2ab }` ⠀

According to the question,

`\tt{ (14)^2=a^2+b^2-2×8 }` ⠀

`\tt{196=a^2+b^2-16 }` ⠀

`\tt{a^2+b^2=196-16 }` ⠀

`\tt{a^2+b^2=180 }` ⠀