SOLUTION: Find the exact and approximate solutions to {{{x^2-5*x+3=0}}}
Algebra.Com
Question 130755: Find the exact and approximate solutions to
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Let's use the quadratic formula to solve for x:
Starting with the general quadratic
the general solution using the quadratic equation is:
So lets solve ( notice , , and )
Plug in a=1, b=-5, and c=3
Negate -5 to get 5
Square -5 to get 25 (note: remember when you square -5, you must square the negative as well. This is because .)
Multiply to get
Combine like terms in the radicand (everything under the square root)
Multiply 2 and 1 to get 2
So now the expression breaks down into two parts
or
----------------------------------------------------------
So the exact solutions are
or
----------------------------------------------------------
When you use a calculator, you will find that the approximate solutions are
or
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+7x-3=0
the... (answered by sofiyac)
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^2-5x+5=0
The... (answered by Fombitz)
give exact and approximate solutions to three decimal places.
x^2+3x-5=0
thank... (answered by drk)
Give exact and approximate solutions to three decimal places.... (answered by Fombitz)
x^2-7x+11=0
the exact solutions=?
the approximate solutions to 3 decimal places are? (answered by jim_thompson5910)
How do I find the exact and approximate solutions of this equation?... (answered by nerdybill)