SOLUTION: Need some help please 2x^2+10x+11=0 You can try the quadratic formula: Keeping in mind that the standard form is {{{Ax^2+Bx+C=0}}}, you could solve it by evaluating the qu

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equation Customizable Word Problems -> SOLUTION: Need some help please 2x^2+10x+11=0 You can try the quadratic formula: Keeping in mind that the standard form is {{{Ax^2+Bx+C=0}}}, you could solve it by evaluating the qu      Log On


   

Question 41230: Need some help please
2x^2+10x+11=0
You can try the quadratic formula:
Keeping in mind that the standard form is Ax%5E2%2BBx%2BC=0, you could solve it by evaluating the quadratic formula.
x+=+%28-b+%2B-+sqrt%28b%5E2+-+4AC%29%29%2F2A
a, the number in front of x squared, is 2.
b, the number in front of x, is 10.
c, the constant, is 11.

Now evaluate:
x+=+%28-%2810%29+%2B-+sqrt%28%2810%29%5E2+-+4%282%29%2811%29%29%29%2F2%282%29
Simplify:
x+=+%28%28-%2810%29+%2B-+sqrt%28+100+-+88%29%29%2F4+%29
x+=+%28%28-%2810%29+%2B-+sqrt%28+12+%29%29%2F4+%29
= +%28%28sqrt%28+3+%29+-+5%29%2F2+%29 or +-%28%28sqrt%28+3+%29+-+5%29%2F2+%29
Found 2 solutions by fractalier, eowend:
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
The equation
2x^2 + 10x + 11 = 0
can not be factored, so let's use the quadratic formula...we get
x = (-10 ± sqrt(100 - 88)) / 4
x = (-10 ± sqrt(12)) / 4
x = (-10 ± 2*sqrt(3)) / 4
x = (-5 ± sqrt(3)) / 2

Answer by eowend(1) About Me  (Show Source):