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the product of two consecutive positive integers is 240 form quadratic equation to represent thi statement |
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Answer» 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. |
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