Problems based on Numbers Test 1

Question : 24 of 40

Marks: +1, -0

Thrice the square of a natural number is decreased by 4 times the number is equal to 50 more than the number. What is that number?

Solution:

Let the natural number be x; then

3x^2 - 4x = x + 50

⇒ 3x^2 - 5x - 50 = 0

⇒ (3x + 10) (x - 5)=0

⇒ x = 5

(A natural number)

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