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 442634: 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.)
(x-2)(x+1)=8
x = ?
x = ?
Please show me the steps to get the answer. Thanks
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
(x-2)(x+1)=8
x(x+1)-2(x+1)=8
x^2+x-2x-2=8
x^2-x-10=0
Find the roots of the equation by quadratic formula

a=1,b=-1,c=-10

b^2-4ac=1-40
b^2-4ac=41sqrt%2841%29=6.4
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=(1+6.4)/2
x1=3.7
x2=(1-6.4)/2
x2= -2.7