Final answer:
To solve the quadratic equation 4x²+5x+3=0, use the quadratic formula to calculate the solutions for x.
Step-by-step explanation:
To solve the quadratic equation 4x²+5x+3=0, we can use the quadratic formula. The quadratic formula states that for an equation of the form ax²+bx+c=0, the solutions for x can be calculated using the formula:
x = (-b ± √(b²-4ac))/(2a)
In this case, a = 4, b = 5, and c = 3. Plugging these values into the formula, we get:
x = (-5 ± √(5²-4*4*3))/(2*4)
x = (-5 ± √(25-48))/(8)
x = (-5 ± √(-23))/(8)