Use the discriminant to determine whether the given equation has two irrational roots, two rational roots, one repeated root, or two complex roots. Do not solve. x² + 3 = 7x A) two irrational roots B) two rational roots C) one repeated root D) two complex roots

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The discriminant of a quadratic equation ax^2 + bx + c = 0 is given by b^2 - 4ac. For the equation x^2 - 7x + 3 = 0 (after rearranging), a = 1, b = -7, and c = 3. The discriminant is (-7)^2 - 4(1)(3) = 49 - 12 = 37, which is positive and not a perfect square, indicating two irrational roots.

Use the Discriminant to Determine Whether the Given Equation Has