Question

a² + b² = 13 and ab = 6 find a+b

Answer 1

Hi ,there !!!

a² + b² =13

ab= 6


a+ b =??



( a+ b )² = a² + b² + 2ab

=> ( a + b) ² = 13 + 2 × 6

a+ b = √ 25

=> a+ b = ± 5

hope it helps you!!!

thanks !!!

ranjankumar

Answer 2

$(a + b)^{2} = a^{2} + b^{2} + 2ab = 13 + 2(6) = 25.$

$\implies a + b = \pm\sqrt{25} = \underline{\underline{\pm5}}.$