SOLUTION: Give exact and approximate solutions to three decimal places. x^2-5x+3=0 The exact solutions are x=__? (use radicals as needed. Use commas to separate answers) The approxim

Algebra.Com
Question 330877: Give exact and approximate solutions to three decimal places.
x^2-5x+3=0
The exact solutions are x=__?
(use radicals as needed. Use commas to separate answers)
The approximate solutions to three decimal places are x=___?
(use a comma to separate answers)
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
Give exact and approximate solutions to three decimal places.
x^2-5x+3=0
-------------
Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)
Quadratic equation (in our case ) has the following solutons:



For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=13 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 4.30277563773199, 0.697224362268005. Here's your graph:

----------------
This below is a waste of your time and mine.
-----------------------------------
The exact solutions are x=__?
(use radicals as needed. Use commas to separate answers)
The approximate solutions to three decimal places are x=___?
(use a comma to separate answers)
RELATED QUESTIONS

Give exact and approximate solutions to three decimal places. x^2+5x-3=0 The exact... (answered by nyc_function)
Give the exact and approximate solutions to three decimal places. x^2-5x+3=0 exact... (answered by richwmiller)
Give exact and approximate solutions to three decimal places. {{{x^2-5x+5=0}}} The... (answered by ewatrrr)
Give exact and approximate solutions to 3 decimal places. {{{x^2+5x-3=0}}} The... (answered by solver91311)
give exact and approximate solutions to three decimal places. x^2+7x-3=0 the... (answered by sofiyac)
Give exact and approximate solutions to three decimal places. x^2+7x-3=0 The exact... (answered by jim_thompson5910)
give exact and approximate solutions to three decimal places... (answered by jim_thompson5910)
Give exact and approximate solutions to three decimal places x^2 + 5x -3 = 0 (answered by ewatrrr)
Give exact and approximate solutions to three decimal places. x^2-5x+5=0 The... (answered by Fombitz)