SOLUTION: I can't get this problem right can you show me how to ork it? Solve by using the quadratic formula. x2 = –5x + 11

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Question 89126: I can't get this problem right can you show me how to ork it?
Solve by using the quadratic formula. x2 = –5x + 11

Found 2 solutions by ankor@dixie-net.com, tutor_paul:
Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
Solve by using the quadratic formula. x^2 = –5x + 11
:
Put it in the general form; ax^2 + bx + c = 0
:
x^2 + 5x - 11 = 0
:
In this problem, a=1, b=5, c=-11
:
The quadratic formula:

:
Substitute for a, b, and c, and you have:

:

:
; minus a minus is a plus
:

:
1st solution:

:

:
x = +1.6533
:
2nd solution:

:

:
x = -6.6533
:
It's good idea to check solution by substitution in the original equation:
x^2 = -5x + 11
Substitute 1.6533 for x:
1.6533^2 = -5(1.6533) + 11
2.7334 = -8.2665 + 11
2.7334 ~ 2.7335
:
You can check the solution using the 2nd solution
:
Can you handle this now?

Answer by tutor_paul(519)   (Show Source): You can put this solution on YOUR website!

First, re-write the equation in standard form. Standard form is:

So, for your problem the standard form is:

The quadratic equation is:

In your case, a=1, b=5, and c=-11
So plug that in to the quadratic equation:

Simplify:


If you want to simplify this more, just plug the numbers into your calculator. But getting to this point is the important thing!
Good Luck,
tutor_paul@yahoo.com

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