Question

If (u - v) = -20 and uv = -36 then u^2 + v^2=

Answer 1

Answer:

328

Step-by-step explanation:

(u-v) = - 20

uv = - 36

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

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

${u}^{2} + {v}^{2} = ( - 20)^{2} + 2 \times ( - 36)$

${u}^{2} + {v}^{2} = 328$