Final answer:
The expression X²+14X+3 is a quadratic equation with solutions x ≈ -0.536 or x ≈ -13.464.
Step-by-step explanation:
The expression X²+14X+3 is a quadratic equation of the form ax² + bx + c, where a = 1, b = 14, and c = 3.
To find the solutions to this quadratic equation, we can use the quadratic formula:
x = (-b ± √(b² - 4ac)) / (2a)
Substituting the values of a, b, and c into the quadratic formula, we get:
x = (-14 ± √(14² - 4(1)(3))) / (2(1))
Simplifying further, we have:
x = (-14 ± √(196 - 12)) / 2
x = (-14 ± √(184)) / 2
Since √(184) is not a rational number, we cannot simplify it any further. Therefore, the solutions to the quadratic equation are approximately:
x ≈ -0.536 or x ≈ -13.464