SOLUTION: The sum of two numbers is 5. when the sum of the squares of the numbers is multiplied by 4 the result is 82. find the numbers. As a required first step, write down a system of two
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Question 322493: The sum of two numbers is 5. when the sum of the squares of the numbers is multiplied by 4 the result is 82. find the numbers. As a required first step, write down a system of two equations in two unknowns whose solution solves the problem. Answer by checkley77(12844) (Show Source):
You can put this solution on YOUR website! X+Y=5 OR X=5-Y
4(X^2+Y^2)=82
4[(5-Y)^2+Y^2]=82
4[25-10Y+Y^2+Y^2)=82
100-40Y+8Y^2=82
8Y^2-40Y+100-82=0
8Y^2-40Y+18=0
(2X-9)(4X-2)=0
2X-9=0
2X=9
X=9/2
X=4.5 ANS.
4X-2=0
4X=2
X=2/4
X=.5 ANS.
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