SOLUTION: x^2+ 11x+ 24 = 0

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: x^2+ 11x+ 24 = 0      Log On


   

Question 207432: x^2+ 11x+ 24 = 0
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

x%5E2%2B11x%2B24=0 Start with the given equation.


Notice that the quadratic x%5E2%2B11x%2B24 is in the form of Ax%5E2%2BBx%2BC where A=1, B=11, and C=24


Let's use the quadratic formula to solve for "x":


x+=+%28-B+%2B-+sqrt%28+B%5E2-4AC+%29%29%2F%282A%29 Start with the quadratic formula


x+=+%28-%2811%29+%2B-+sqrt%28+%2811%29%5E2-4%281%29%2824%29+%29%29%2F%282%281%29%29 Plug in A=1, B=11, and C=24


x+=+%28-11+%2B-+sqrt%28+121-4%281%29%2824%29+%29%29%2F%282%281%29%29 Square 11 to get 121.


x+=+%28-11+%2B-+sqrt%28+121-96+%29%29%2F%282%281%29%29 Multiply 4%281%29%2824%29 to get 96


x+=+%28-11+%2B-+sqrt%28+25+%29%29%2F%282%281%29%29 Subtract 96 from 121 to get 25


x+=+%28-11+%2B-+sqrt%28+25+%29%29%2F%282%29 Multiply 2 and 1 to get 2.


x+=+%28-11+%2B-+5%29%2F%282%29 Take the square root of 25 to get 5.


x+=+%28-11+%2B+5%29%2F%282%29 or x+=+%28-11+-+5%29%2F%282%29 Break up the expression.


x+=+%28-6%29%2F%282%29 or x+=++%28-16%29%2F%282%29 Combine like terms.


x+=+-3 or x+=+-8 Simplify.


So the solutions are x+=+-3 or x+=+-8