SOLUTION: Please help, I am struggling on these two problems(: {{{ -x^2=15x+30 }}} and also {{{ 2x^2=-7x-29 }}} I have tried this one and found it has no solutions. Is this accurat

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Please help, I am struggling on these two problems(: {{{ -x^2=15x+30 }}} and also {{{ 2x^2=-7x-29 }}} I have tried this one and found it has no solutions. Is this accurat      Log On


   

Question 282629: Please help, I am struggling on these two problems(:
+-x%5E2=15x%2B30+
and also
+2x%5E2=-7x-29+
I have tried this one and found it has no solutions. Is this accurate?
Please and thank you(:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
I'll do the first one to get you started.

+-x%5E2=15x%2B30+ Start with the given equation.


+0=x%5E2%2B15x%2B30+ Add x%5E2 to both sides


Notice that the quadratic x%5E2%2B15x%2B30 is in the form of Ax%5E2%2BBx%2BC where A=1, B=15, and C=30


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-%2815%29+%2B-+sqrt%28+%2815%29%5E2-4%281%29%2830%29+%29%29%2F%282%281%29%29 Plug in A=1, B=15, and C=30


x+=+%28-15+%2B-+sqrt%28+225-4%281%29%2830%29+%29%29%2F%282%281%29%29 Square 15 to get 225.


x+=+%28-15+%2B-+sqrt%28+225-120+%29%29%2F%282%281%29%29 Multiply 4%281%29%2830%29 to get 120


x+=+%28-15+%2B-+sqrt%28+105+%29%29%2F%282%281%29%29 Subtract 120 from 225 to get 105


x+=+%28-15+%2B-+sqrt%28+105+%29%29%2F%282%29 Multiply 2 and 1 to get 2.


x+=+%28-15%2Bsqrt%28105%29%29%2F%282%29 or x+=+%28-15-sqrt%28105%29%29%2F%282%29 Break up the expression.


So the solutions are x+=+%28-15%2Bsqrt%28105%29%29%2F%282%29 or x+=+%28-15-sqrt%28105%29%29%2F%282%29