SOLUTION: Use the quadratic formula to solve the equation. Write the radical in simplified form, and the answer in lowest terms: 1/2p^2+2/3p-5/2=0

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Use the quadratic formula to solve the equation. Write the radical in simplified form, and the answer in lowest terms: 1/2p^2+2/3p-5/2=0      Log On


   

Question 800931: Use the quadratic formula to solve the equation. Write the radical in simplified form, and the answer in lowest terms: 1/2p^2+2/3p-5/2=0
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!

Find the roots of the equation by quadratic formula

a= 1/2 b= 2/3 c= -5/2

b^2-4ac= 4/9 - -5
b^2-4ac= 49/9
sqrt%2849%2F9%29=+7%2F3
p=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29
p1=%28-b%2Bsqrt%28b%5E2-4ac%29%29%2F%282a%29
p1=( - 2/3 + 7/3 )/ 1
p1= 5/3
p2=( - 2/3 -7/3 ) / 1
p2= -3

(5/3, -3)