Question

x²+ y²= 25, xy = 12 then x+ y is equal to​

Answer 1

Answer:

x+ y whole square is x²+ y square +2xy

X+y whole square is 25+24=49

X+y=7

Answer 2

Step-by-step explanation:

$\huge\underline{\overline{\mid{\bold{\pink{AnsWer}}\mid}}}$

$\mathbb{\large{\green{\underline{\underline{given}}}}} \\ \\ \displaystyle \sf \longrightarrow \: {x}^{2} + {y}^{2} = 25 \\ \\ \displaystyle \sf \longrightarrow \:xy = 12 \: \: \: \\ \\ \mathbb{\large{\orange{\underline{\underline{solution}}}}} \\ \\ \displaystyle \sf \: let \: \: x \: = 4 \: and \: y \: = \: 3 \\ \\ \displaystyle \sf \longrightarrow \: {x}^{2} + {y}^{2} = 25 \\ \\ \displaystyle \sf \longrightarrow {4}^{2} + {3}^{2} = 25 \\ \\ \displaystyle \sf \longrightarrow \: 25 = 25(equation \: satisfied) \\ \\ \displaystyle \sf \longrightarrow \: xy \: = 12 \\ \\ \displaystyle \sf \longrightarrow4 \times 3 = 12 \\ \\ \displaystyle \sf \longrightarrow12 = 12(equation \: satisfied) \\ \\ \\ \huge \sf \: so \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \displaystyle \sf \longrightarrow \: x \: = 4 \\ \\ \displaystyle \sf \longrightarrow \: y \: = 3$

$\huge\textbf{x + y = 7}$