Question

 If ( a +b ) = 12 and ab = 14 , then what is the value of (a² +b²)=?​

Answer 1

$\underline{\bf\purple{\dag}\:\mathfrak{Answer }}$

Given :-

• a + b = 12
• ab = 14

To Find :-

• (a² +b²) =?

Full solution :-

Formula used =${\boxed {{{{\red{( {p}^{2} + {q}^{2} ) = {p}^{2} + {q}^{2} \: + 2pq }}}}}}$

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

$\implies \sf \: {(12)}^{2} = {a}^{2} + {b}^{2} + 2 \times 14$

$\implies \sf \: 144 = {a}^{2} + {b}^{2} + 28$

$\implies \sf {a}^{2} + {b}^{2} \: = 144 - 28 = 116$

116 is the answer!!