Solve this equation p square-10p-24=0
P2—10p—24=0
2 * -12 = -24 ... 2 + -12 = -10 ... try factoring the equation
P²-10p-24
To solve the equation p^2 - 10p - 24 = 0, we can use the quadratic formula. The quadratic formula is given by:
p = (-b ± √(b^2 - 4ac)) / (2a)
In this case, we have a = 1, b = -10, and c = -24. Plugging these values into the quadratic formula, we get:
p = (-(-10) ± √((-10)^2 - 4(1)(-24))) / (2(1))
Simplifying further:
p = (10 ± √(100 + 96)) / 2
p = (10 ± √(196)) / 2
p = (10 ± 14) / 2
This gives us two solutions:
p = (10 + 14) / 2 = 24 / 2 = 12
p = (10 - 14) / 2 = -4 / 2 = -2
Therefore, the solutions for the equation p^2 - 10p - 24 = 0 are p = 12 and p = -2.