• The difference between the squares of the radii of two circle is 16. Radius of the first circle is less by than twice the radius of the second circle. Find the radii.
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Answer:
let the second radius be X
let the first radius be 2x-1
x²-(2x-1)²-16
x²-4x-4x+1=16
x²-8x-15
x²-3x-5x -15
X(X-3) -5(x-3)
(x-3)(x-5)
x-3=0 or x-5=0
X=3. X=5
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