the product of two consecutive positive integers is 240 form quadratic equation to represent thi statement
Answers
Answer:
x^2 + x - 240 = 0
Step-by-step explanation:
Given a statement such that,
The Product of two consecutive positive integers is 240.
To form the quadratic equation.
Let's bassime that one of the integer is x.
But, the other one is consecutive, i.e., just one more greater than it .
Therefore, the other one will be (x+1).
Now, according to question,
Their product = 240
Therefore, we will get,
=> x(x+1) = 240
=> x^2 + x = 240
=> x^2 + x - 240 = 0
Clearly, it's in the form of ax^2+bx+c = 0, which is the general form of a quadratic equation.
Hence, the required quadratic equation formed is x^2+ x - 240 = 0.
Answer:
The required quadratic equation form =
(x² + x - 240 = 0).
Explanation:
According to the given equation:
240 is the product of two positive integer. Let us assume the variable 'x' as the integer. We know that other one is consecutive and greater than the other, So let the equation be '(x + 1)' be the other one. According to the case to to form the quadratic equation we get as follows:
- x is the integer.
- (x+1) is the other consecutive.
- 240 is the product.
We know that:
Product of two consecutive positive integer is 240.
Hence,
- x (x + 1) = 240
- (x² + x) = 240
Therefore, finally it's form in quadratic equation:
- (x² + x) - 240 = 0
Quadratic formula:
- ax²+ bx + c = 0
The quadratic equation formed:
- x² + x - 240 = 0
Thus! This is in the form of quadratic equation.