How many x-intercepts does the graph of y = 2x^2 + 5x +9 have?

Mathematics

1 answer:

Pepsi [2]3 years ago

7 0

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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