SOLUTION: What is the quadratic equation of 4x^2-8x-9=0 (simplifiy your answer. type an exact answer using radicals as needed. Use integers or fractions for any number in the expression.

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: What is the quadratic equation of 4x^2-8x-9=0 (simplifiy your answer. type an exact answer using radicals as needed. Use integers or fractions for any number in the expression.       Log On


   



Question 244008: What is the quadratic equation of 4x^2-8x-9=0
(simplifiy your answer. type an exact answer using radicals as needed. Use integers or fractions for any number in the expression. Express complex numbers in the form of i.)

Answer by mathitutor(25) About Me  (Show Source):
You can put this solution on YOUR website!
4x^2-8x-9=0
=> (2x)^2 - 2.2x.2 + 2^2 -9 -4 = 0
=> (2x -2)^2 = 13
=> 2x - 2 = +sqrt(13) or -sqrt(13)
=> 2x = 2 +sqrt(13) or 2-sqrt(13)
x = 1 + sqrt(13)/2 or 1 - sqrt(13)/2