Question

If a+b=7 and ab =12 find the value of a2 +b2

Answer 1

Don't know the answer....

Answer 2

$\huge\tt{\bold{\underline{\underline{Question᎓}}}}$

If a+b=7 and ab =12 find the value of a2 +b2

$\huge\tt{\bold{\underline{\underline{Answer᎓}}}}$

$= > a + b = 7$

$= > a = 7 - b.....(1)$

put a's value in another equation

$= > ab = 12$

$= > (7 - b)b = 12$

$= > 7b - {b}^{2} - 12 = 0$

$= > - {b}^{2} + 7b - 12 = 0$

=>taking - common

$= > {b}^{2} - 7b + 12 = 0$

$= > {b}^{2} - 4b - 3b + 12 = 0$

$= > b(b - 4) - 3(b - 4) = 0$

$= > (b - 3)(b - 4) = 0$

$\bold{\red{ = > b = 3,4}}$

Take any one value :-

I take b=3; now put the value of b in Equation1

$= > a = 7 - b$

$\bold{\red{ = > a = 7 - 3 = 4}}$

$= > {a}^{2} + {b}^{2} = {4}^{2} + {3}^{2} = 16 + 9$

$= 25$