Question

Divide 16 into two positive numbers such that twice the square of the larger part exceeds the square of the smaller part by 164. topic :Quadratic equation

Answer 1

Answer:

answer is 6 and 10

Step-by-step explanation:

Let the larger part be x. Then, the smaller part =16−x

By hypothesis, we have

2x  2  =(16−x)  2 +164

⇒x2 +32x−420=0⇒(x+42)(x−10)=0

⇒x=−42 or x=10

∵ x can not be a negative

⇒x=10

hence the required parts are 10 and (16−10)=6

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