Final answer:
To solve the quadratic equation 3x² + x - 5 = 0, we can use the quadratic formula. The two possible values for x are approximately 0.74 and -1.41.
Step-by-step explanation:
To solve the quadratic equation 3x² + x - 5 = 0, we can use the quadratic formula. For an equation of the form ax² + bx + c = 0, the quadratic formula is x = (-b +- √(b² - 4ac)) / 2a. Applying this formula to the given equation:
x = (-1 +- √(1² - 4(3)(-5))) / (2(3))
x = (-1 +- √(1 + 60)) / 6
x = (-1 +- √(61)) / 6
Rounding to 2 decimal places, the two possible values for x are approximately 0.74 and -1.41.