SOLUTION: Help with Quadratic Equation please Use the quadratic formula to solve for x. {{{ 2x^2+5x=1 }}} Round your answer to the nearest hundredth. If there is more than one solu

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Help with Quadratic Equation please Use the quadratic formula to solve for x. {{{ 2x^2+5x=1 }}} Round your answer to the nearest hundredth. If there is more than one solu      Log On


   

Question 1181266: Help with Quadratic Equation please
Use the quadratic formula to solve for x.
+2x%5E2%2B5x=1+
Round your answer to the nearest hundredth.
If there is more than one solution, separate them with commas.
Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
+2x%5E2%2B5x=1+
+2x%5E2%2B5x-1=0+

x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+....in your case a=2, b=5, and c=-1
x+=+%28-5+%2B-+sqrt%285%5E2-4%2A2%2A%28-1%29%29%29%2F%282%2A2%29+
x+=+%28-5+%2B-+sqrt%2825%2B8%29%29%2F4+
x+=+%28-5+%2B-+sqrt%2833%29%29%2F4+

exact solutions:
x+=+%28-5+%2Bsqrt%28+33+%29%29%2F4+=>x+=+-5%2F4+%2B+sqrt%2833%29%2F4+=>rounded to the nearest hundredth x+=0.19+
x+=+%28-5+-sqrt%28+33+%29%29%2F4+=>x+=+-5%2F4+-sqrt%2833%29%2F4+=>rounded to the nearest hundredth x=-2.69



Answer by ikleyn(52780) About Me  (Show Source):
You can put this solution on YOUR website!
.

On solving quadratic equations using the quadratic formula,  see the lessons
    - Introduction into Quadratic Equations
    - PROOF of quadratic formula by completing the square
in this site.


Also,  you have this free of charge online textbook in  ALGEBRA-I  in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this textbook under the topic  "Quadratic equations".


Save the link to this online textbook together with its description

Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson

to your archive and use it when it is needed.