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Homework Statement
2 positive numbers , x and y, are such that the sum of their squares is 10 times their sum.
a. write an equation to link x and y
b. If y is the larger number and the difference is 6 show that x satisfies the equation
x2-4x-12=0
c. solve the equation and fin the 2 positive numbers x and y
Homework Equations
The Attempt at a Solution
Part a. This is where I think I may be wrong
10x+10y=x2+y2
Part b. y= x+6, substitute in above formula, but I can't get the same quadratic equation as the question.
Part c. I can do this ok.