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What is the length of the line cut by the square of the parabola y = 2x + 5x-3 on the x-axis?
The square of y = 2x + 5x-3
Let y = 0
Square of 2x + 5x-3 = 0
(x+3)(2x-1)=0
The solution is x = 1 / 2 or x = - 3
That is, the coordinates of the two ends of the line segment cut on the X axis of the parabola are (1 / 2,0) (- 3,0)
Therefore, the length of the line segment is | - 3-1 / 2 | = 7 / 2
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