⎩⎨⎧a1+a2+a3+a4+…+a10=4b1+b2+b3+b4+…+b10=−1
Let a1,a2,a3,a4,…,a10 and b1,b2,b3,b4,…,b10 be real numbers such that they satisfy the system of equations above.
What is the minimum positive value of the expression below? (a12+b12+a22+b22+…+a102+b102)2
Also try this.