SOLUTION: Please help me solve this equation [6xsquare +11x+60}

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Question 373991: Please help me solve this equation [6xsquare +11x+60}
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Is the equation 6x%5E2%2B11x%2B60=0 ??? If so, then...





6x%5E2%2B11x%2B60=0 Start with the given equation.


Notice that the quadratic 6x%5E2%2B11x%2B60 is in the form of Ax%5E2%2BBx%2BC where A=6, B=11, and C=60


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%286%29%2860%29+%29%29%2F%282%286%29%29 Plug in A=6, B=11, and C=60


x+=+%28-11+%2B-+sqrt%28+121-4%286%29%2860%29+%29%29%2F%282%286%29%29 Square 11 to get 121.


x+=+%28-11+%2B-+sqrt%28+121-1440+%29%29%2F%282%286%29%29 Multiply 4%286%29%2860%29 to get 1440


x+=+%28-11+%2B-+sqrt%28+-1319+%29%29%2F%282%286%29%29 Subtract 1440 from 121 to get -1319


x+=+%28-11+%2B-+sqrt%28+-1319+%29%29%2F%2812%29 Multiply 2 and 6 to get 12.


x+=+%28-11+%2B-+i%2Asqrt%281319%29%29%2F%2812%29 Simplify the square root (note: If you need help with simplifying square roots, check out this solver)


x+=+%28-11%2Bi%2Asqrt%281319%29%29%2F%2812%29 or x+=+%28-11-i%2Asqrt%281319%29%29%2F%2812%29 Break up the expression.


So the solutions are x+=+%28-11%2Bi%2Asqrt%281319%29%29%2F%2812%29 or x+=+%28-11-i%2Asqrt%281319%29%29%2F%2812%29