SOLUTION: Use the quadratic formula to solve the equation 2x^2-x=-10 The solution set is { }.

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Question 147559: Use the quadratic formula to solve the equation
2x^2-x=-10
The solution set is { }.
Found 2 solutions by jim_thompson5910, stanbon:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

2x%5E2-x=-10 Start with the given equation.


2x%5E2-x%2B10=0 Get all terms to the left side.


Notice we have a quadratic equation in the form of ax%5E2%2Bbx%2Bc where a=2, b=-1, and c=10


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-%28-1%29+%2B-+sqrt%28+%28-1%29%5E2-4%282%29%2810%29+%29%29%2F%282%282%29%29 Plug in a=2, b=-1, and c=10


x+=+%281+%2B-+sqrt%28+%28-1%29%5E2-4%282%29%2810%29+%29%29%2F%282%282%29%29 Negate -1 to get 1.


x+=+%281+%2B-+sqrt%28+1-4%282%29%2810%29+%29%29%2F%282%282%29%29 Square -1 to get 1.


x+=+%281+%2B-+sqrt%28+1-80+%29%29%2F%282%282%29%29 Multiply 4%282%29%2810%29 to get 80


x+=+%281+%2B-+sqrt%28+-79+%29%29%2F%282%282%29%29 Subtract 80 from 1 to get -79


x+=+%281+%2B-+sqrt%28+-79+%29%29%2F%284%29 Multiply 2 and 2 to get 4.


x+=+%281+%2B-+i%2Asqrt%2879%29%29%2F%284%29 Simplify the square root (note: If you need help with simplifying square roots, check out this solver)


x+=+%281%2Bi%2Asqrt%2879%29%29%2F%284%29 or x+=+%281-i%2Asqrt%2879%29%29%2F%284%29 Break up the expression.


So our answers are x+=+%281%2Bi%2Asqrt%2879%29%29%2F%284%29 or x+=+%281-i%2Asqrt%2879%29%29%2F%284%29


which approximate to x=2.472%2Ai or x=-1.972%2Ai

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Use the quadratic formula to solve the equation
2x^2-x=-10
The solution set is { }.
---------------------
Rearrange:
2x^2-x+10 = 0
x = [1 +- sqrt(1 -4*2*10)]/4
x = [1 +- sqrt(-79)]/4
x = [1 + isqrt(79)]/4 or x = [1 - isqrt(79)]/4
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Cheers,
Stan H.