Final answer:
To solve the equation y = x² + 5x + 3, use the quadratic formula and plug in the values of a, b, and c. Simplify the expression to find the solutions for x.
Step-by-step explanation:
The equation y = x² + 5x + 3 can be solved using the quadratic formula. The quadratic formula is x = (-b ± sqrt(b² - 4ac)) / 2a, where a, b, and c are the coefficients of the quadratic equation ax² + bx + c = 0. In this equation, a = 1, b = 5, and c = 3. Plugging these values into the quadratic formula, we get x = (-5 ± sqrt(5² - 4(1)(3))) / 2(1). Simplifying further, we have x = (-5 ± sqrt(25 - 12)) / 2, x = (-5 ± sqrt(13)) / 2. Therefore, the solutions for x are x = (-5 + sqrt(13)) / 2 and x = (-5 - sqrt(13)) / 2.