Final answer:
To solve the quadratic equation 4p²+6p+2=0, you can use the quadratic formula. The solutions are p = -1/2 or p = -1.
Step-by-step explanation:
To solve the quadratic equation 4p²+6p+2=0, you can use the quadratic formula:
p = (-b ± sqrt(b^2 - 4ac)) / 2a
In this case, a = 4, b = 6, and c = 2. Substituting these values into the formula, we get:
p = (-6 ± sqrt(6^2 - 4 * 4 * 2)) / (2 * 4)
Simplifying further, we have:
p = (-6 ± sqrt(36 - 32)) / 8
p = (-6 ± sqrt(4)) / 8
p = (-6 ± 2) / 8
Therefore, the solutions to the equation are:
p = (-6 + 2) / 8 or p = (-6 - 2) / 8
Which simplifies to:
p = -4/8 or p = -8/8
p = -1/2 or p = -1