Question

The graph of the equation y=2x2-3x+1 intersect the line y = 0 at
A. (1,0) and (-12, 0)
B. (-1,0) and (0)
C. (1, 0) and (12,0)
D. (1, 0) and (1,2)​

Answer 1

Answer:

(1, 0) and (1/2,0)

Explanation:

where equation y=2x2-3x+1 intersect the line y = 0 ,the coordinate will (x,0) and this value of x and y will satisfy the equation so,

0 = 2x^2-3x+1

0 = 2x^2 -2x -x +1

0 = 2x (x-1) -1 (x-1)

0 = (x-1)(2x-1)

SO, x = 1 , x = 1/2

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