How do you solve the equation by graphing 2x^2 - 3x + 4 = 0?

1 Answer
Dec 15, 2017

Draw the graph of 2x^2-3x+4 and see where it intercepts the x axis to solve for x. In this case, there are no solutions.

Explanation:

We can sketch the graph of 2x^2-3x+4 using the following facts:

  • The y intercept is 4
  • The b term (-3) is negative, so the graph is shifted slightly to the right
  • The x coordinate of the vertex is (-b)/(2a) = 3/4. Plugging this back in gives y = 2.875.

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Since the quadratic is positive, and (3/4, 2.875) is the lowest point, the line doesn't intercept the x axis at any point. Hence, there are no solutions.