Question

If a+B =14and ab=2 find a²+b²​

Answer 1

$\huge\sf{ANSWER:-}$

$\sf{Given\:that:\: a+b=14}$

$\sf{ab=2}$

$\sf{To\:find: a^2+b^2}$

$\sf\pink{We\:know\:that:-}$

$\sf\red{(a+b)^2= a^2+2ab+b^2}$

$\sf{∴\:(14)^2 = a^2+b^2 + 2*2}$

$\sf{=>\:a^2+b^2= 196-4}$

$\sf\boxed{a^2+b^2=192}$

$\huge\sf\purple{Hope\:it\:helps\:You}$

Answer 2

(a+b)2=a2+2ab+b2  

(a+b)2=a2+b2+2ab

142=a2+b2+2(20)

196=a2+b2+40

a2+b2=156

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