Q13.Five times of a positive integer is less than twice its square
by 3. Find the integer.
pls answer fast I'll mark first as brainalist
Answers
Answer
Let the number be x,
5 times of x= 5x
3 less than twice of square of x = 2x² - 3
According to the Question,
5x = 2x²- 3
2x² -3 -5x = 0
2x² - 5x -3 = 0
2x² - (6-1)x -3 = 0
2x² -6x + x - 3 = 0
2x(x -3) +1(x-3) = 0
(x -3) (2x +1) = 0
By Zero Product Rule
x-3 = 0 OR 2x + 1 =0
x = 3 OR x = -1/2
X can't be negative
So,Number is 3
THX
Answer:
Step-by-step explanation: It is very simple..
Let the number be x,
5 times of x= 5x
3 less than twice of square of x = 2x² - 3
According to the Question,
5x = 2x²- 3
2x² -3 -5x = 0
2x² - 5x -3 = 0
2x² - (6-1)x -3 = 0
2x² -6x + x - 3 = 0
2x(x -3) +1(x-3) = 0
(x -3) (2x +1) = 0
By Zero Product Rule
x-3 = 0 OR 2x + 1 =0
x = 3 OR x = -1/2
X can't be negative (Given in the Question)
So,
-1/2 is rejected.
THEREFORE, THE NUMBER IS 3.
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