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I multiply two consecutive numbers and get a product of 1122. What are the two numbers?
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First find the square root of 1122. The 2 numbers will surround the number you got as the root.
let the first number be \(n\) the other number is consecutive so it is \(n+1\) \[(n)\times(n+1)=1122\\n^2+n-1122=0\] apply the quadratic formula \[ax^2+bx+c=0\] \[x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\] NB; there will be two solutions
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