A positive number is divided into two parts such that the sum of the squares of the two parts is 208. The square of the larger part is 8 times the smaller part. Taking x as the smaller part,find the number.

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A positive number is divided into two parts such that the sum of the squares of the two parts is 20. The square of the larger part is 8 times the smaller part. Taking x as the smaller part of the two parts, find the number.

A positive number is divided into 2 parts such that the sum of the squares of 2 parts is 208. The square of the larger part is 18 times the smaller part. Taking ‘’ as the smaller part of the 2 parts, find the numbers.

Q. a) A positive number is divided into two parts, such that the sum of the squares of the two parts is 208. The square of the larger part is 8 times the smaller part. Taking

x

as the smaller part of the two parts, find the number.

b) Solve the following quadratic equation and give the answer correct to two significant figures:

4 x^{2} - 7 x + 2 = 0

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Divide 16 into two parts such that twice the square of the larger part exceeds the square of the smaller part by 164.

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