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,

$\tt{ (14)^2=a^2+b^2-2×8 }$ ⠀

$\tt{196=a^2+b^2-16 }$ ⠀

$\tt{a^2+b^2=196-16 }$ ⠀

$\tt{a^2+b^2=180 }$ ⠀

Answer 2

Answer:

$\bold{ a^2+b^2=212}$ 

Step-by-step explanation:

a-b=1

ab=8

So,

$\mapsto{a^2+b^2-2ab=(a-b)^2 }$     

$\mapsto{a^2+b^2-2×8=(14)^2 }$ 

$\mapsto{a^2+b^2-16=196 }$ 

$\mapsto{a^2+b^2=196+16 }$ 

$\mapsto{a^2+b^2=212 }$