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The sum of two numbers is 13, and their product is 30. What
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04 Apr 2019, 04:19
04 Apr 2019, 04:19
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Question Stats:
91% (01:02) correct
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The sum of two numbers is 13, and their product is 30. What is the sum of the squares of the two numbers?
(A) –229
(B) –109
(C) 139
(D) 109
(E) 229
(A) –229
(B) –109
(C) 139
(D) 109
(E) 229
Re: The sum of two numbers is 13, and their product is 30. What
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04 Apr 2019, 20:50
04 Apr 2019, 20:50
4
Carcass wrote:
The sum of two numbers is 13, and their product is 30. What is the sum of the squares of the two numbers?
(A) –229
(B) –109
(C) 139
(D) 109
(E) 229
(A) –229
(B) –109
(C) 139
(D) 109
(E) 229
Here,
Let x and y be 2 nos. , we need to find out the value of x^2 + y^2
given,
x + y =13
or \((x + y)^2 = 13^2\)
or \(x^2 + y^2 + 2xy = 169\)
or \(x^2 + y^2 + 60 = 169\)
or \(x^2 + y^2 = 109\)
Re: The sum of two numbers is 13, and their product is 30. What
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16 Sep 2019, 07:26
16 Sep 2019, 07:26
3
Carcass wrote:
The sum of two numbers is 13, and their product is 30. What is the sum of the squares of the two numbers?
(A) –229
(B) –109
(C) 139
(D) 109
(E) 229
(A) –229
(B) –109
(C) 139
(D) 109
(E) 229
pretty sure this solution needs to be edited. The answer is D: 109
