elizabeth

10-19-2013, 07:03 PM

The sum of two numbers is 14 and their product is 40. What is the value of the sum of their squares?

(A) 116

(B) 126

(C) 196

(D) 206

Thanks!!

(A) 116

(B) 126

(C) 196

(D) 206

Thanks!!

View Full Version : Sum of two numbers

elizabeth

10-19-2013, 07:03 PM

The sum of two numbers is 14 and their product is 40. What is the value of the sum of their squares?

(A) 116

(B) 126

(C) 196

(D) 206

Thanks!!

(A) 116

(B) 126

(C) 196

(D) 206

Thanks!!

kadence

10-19-2013, 07:04 PM

From the following identity we have that

a^2+b^2=(a+b)^2-2ab=(14)^2-2(40)=196-80=116

Therefore the correct answer is (A).

a^2+b^2=(a+b)^2-2ab=(14)^2-2(40)=196-80=116

Therefore the correct answer is (A).

kadence

10-19-2013, 07:04 PM

Thank you kadence!

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