SOLUTION: Solve the following equation by using the quadratic formula. (Enter solutions from smallest to largest. If there is one solution with a multiplicity of two, enter it in both answer

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Solve the following equation by using the quadratic formula. (Enter solutions from smallest to largest. If there is one solution with a multiplicity of two, enter it in both answer      Log On


   

Question 449457: Solve the following equation by using the quadratic formula. (Enter solutions from smallest to largest. If there is one solution with a multiplicity of two, enter it in both answer boxes.)
(2x-1)(x+2)=9
x = ?
x = ?
Please show me the steps to get the steps.
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
(2x-1)(x+2)=9

(2x(x+2)-1(x+2))=9
2x^2+4x-x-2=9
x^2+3x-11=0
Find the roots of the equation by quadratic formula

a=1,b=3,c=-11

b^2-4ac=9+44
b^2-4ac=53
sqrt(53)=7.28
x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29
x1=%28-b%2Bsqrt%28b%5E2-4ac%29%29%2F%282a%29
x1=(-3+ 7.28)/ 2
x1=2.14
x2=(-3-7.28) / 2
x2= -5.14