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  • 19-02-2019
  • Mathematics
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How many intercepts does the graph of y=2x^2+5x+9

How many intercepts does the graph of y2x25x9 class=

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L0wPann0812 L0wPann0812
  • 19-02-2019

Answer:

Step-by-step explanation:

y = 0 at the point where the function intersects x-axis. Thus, yiou have to put

                                               2x2 + x - 10 = 0

and solve the equation. It is better to factor the quadratic expression, which gives us

                                              2x2 + x - 10 = (2x+5)(x-2) = 0

We have 2x +5 = 0     and x-2 = 0. Thus, the intercepts are x = -5/2 = - 2.5    and x = 2.

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