Use the quadratic formula to solve. SHOW ALL STEPS FOR FULL CREDIT. Make sure that the final answer has a simplified radical. 2x² -10x +3

Step-by-step explanation:

If we have the standard form , then we can use the quadratic formula:

First, let's identify our coefficients. We have .

This can be rewritten as .

Therefore, a=2, b=-10, and c=3.

Substitute these values into the quadratic formula. This yields:

From here, simplify. Evaluate the expression under the square root:

Evaluate:

Note that:

Therefore:

We can factor out a 2 from both the numerator and the denominator:

Simplify:

Therefore, our roots are:

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