If x(1),x(2) are real solutions to the e...

If `x_(1),x_(2)` are real solutions to the equation `x^(2)+a^(2)x+b=0` while `x_(3),x_(4)` are real solutions to `x^(2)+5ax+7=0` such that `x_(1)-x_(3)=x_(2)-x_(4)=2` then find the values of `a` and `b`

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