Question

a^2 + b^2 = 26
ab = -19
a + b = ?

Answer 1

Answer:

$\huge{\boxed{\sf\ \implies:a + b = 8 }}$

Step-by-step explanation:

$\sf\underline{we \: know \: {a}^{2} + {b}^{2} = {(a + b)}^{2} - 2b } \\ \\ \bf\ here \: \boxed{\red {{a}^{2}+ {b}^{2} = 26} }\: \: \: \: \boxed{ \purple{ ab = - 19 }}\\ \\ \tt\huge \: now \\ \\ \sf\ \implies:26 = {(a + b)}^{2} - 2 \times - 19 \\ \\\sf\ \implies:26 + 38 = {(a + b)}^{2} \\ \\ \sf\ \implies:a + b = \sqrt{64} \\ \\ \boxed{\sf\ \implies:a + b = 8 }$