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Rachel sketches the graph of quadratic function that never crosses the X axis. which statement is true concering the roots of the function?

Rachel sketches the graph of quadratic function that never crosses the X axis. which-example-1
User MSepehr
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SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Define a quadratic equation that does not passes through the x-axis

When a quadratic function never crosses the x-axis, then it has no real roots or solutions. Hence, the discriminant must be negative. meaning the solutions are imaginary/complex.

Hence, the answer will be:

The function has two imaginary roots

User Amit Chigadani
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