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
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Put it in the general form; ax^2 + bx + c = 0
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x^2 + 5x - 11 = 0
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In this problem, a=1, b=5, c=-11
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The quadratic formula:
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Substitute for a, b, and c, and you have:
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: ; minus a minus is a plus
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1st solution:
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x = +1.6533
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2nd solution:
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x = -6.6533
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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
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You can check the solution using the 2nd solution
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Can you handle this now?
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,
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