Question

U square +v square is what.if u +v=7 and u×v=12

Answer 1

${u}^{2} + {v}^{2} \\ u + v = 7 \\ u \times v = 12$

$(u + v)^{2} = {u}^{2} + {v}^{2} + 2uv$

${7}^{2} = {u}^{2} + {v}^{2} + 2 \times 12$

${u}^{2} + {v}^{2} = 49 - 24$

${u}^{2} + {v}^{2} = 25$