SOLUTION: x^2+3=-24

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Question 114325This question is from textbook Algebra 2
: x^2+3=-24 This question is from textbook Algebra 2

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
I suspect you left out an x in the 2nd term. Put the equation in standard form:

x%5E2%2B3x%2B24%2B0

Then use the quadratic equation: x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+


x+=+%28-3+%2B-+sqrt%28+3%5E2-4%2A1%2A24+%29%29%2F%282%2A1%29+
x=%28-3%2B-sqrt%289-96%29%29%2F2=%28-3%2B-sqrt%28-87%29%29%2F2
x=%28-3%2Bi%2Asqrt%2887%29%29%2F2 or x=%28-3-i%2Asqrt%2887%29%29%2F2

On the other hand, if you really meant what you wrote, x%5E2%2B3=-24, then

x%5E2=-27
x=0%2B-sqrt%28-27%29
x=0%2B-i%2Asqrt%2827%29
x=0%2B-3i%2Asqrt%283%29
x=3i%2Asqrt%283%29 or x=-3i%2Asqrt%283%29