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

Algebra ->  Quadratic Equations and Parabolas -> 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       Log On


   



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) About Me  (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:
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
:
Substitute for a, b, and c, and you have:
x+=+%28-5+%2B-+sqrt%28+5%5E2+-+%284+%2A+1%2A+-11%29+%29%29%2F%282%2A1%29+
:
x+=+%28-5+%2B-+sqrt%28+25+-+%28-44%29+%29%29%2F%282%29+
:
x+=+%28-5+%2B-+sqrt%28+25+%2B+44%29+%29%2F%282%29+; minus a minus is a plus
:
x+=+%28-5+%2B-+sqrt%28+69+%29%29%2F%282%29+
:
1st solution:
x+=+%28-5+%2B+8.3066%29%2F2
:
x+=+%2B+3.3066%2F2
:
x = +1.6533
:
2nd solution:
x+=+%28-5+-+8.3066%29%2F2
:
x+=+-13.3066%2F2
:
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) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E2=-5x%2B11
First, re-write the equation in standard form. Standard form is:
ax%5E2%2Bbx%2Bc=0
So, for your problem the standard form is:
x%5E2%2B5x-11=0
The quadratic equation is:
x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F2a
In your case, a=1, b=5, and c=-11
So plug that in to the quadratic equation:
x=%28-5%2B-sqrt%285%5E2-%284%29%281%29%28-11%29%29%29%2F%282%2A1%29
Simplify:
x=%28-5%2B-sqrt%2825%2B44%29%29%2F2
highlight%28x=%28-5%2B-sqrt%2869%29%29%2F2%29
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