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We can solve a quadratic equation by
We can solve a quadratic equation by splitting the middle term, completing the square method and the quadratic formula method.
The product of two consecutive positive integers is 240. Find the numbers.
Let the numbers be x and x + 1.
x(x + 1) = 240 x2 + x − 240 = 0x2 + 16x − 15x − 240 = 0x(x + 16) - 15(x + 16) = 0 (x + 16)(x - 15) = 0 x = 15 or x = −16so x = 15 … positive number
The area of a rectangular plot is 528 m2, and its length is one more than twice its breadth. Find the dimensions of the plot.
Let the breadth be x, so the length is 2x + 1.
Area = L × B = x (2x + 1) = 528 2x2 + x - 528 = 0
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