Question 194972
How would you solve problems like:
x^2+5=0
x^2-11=0 
Why is there two solutions? 
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x^2+5=0
Since there's no x term:
{{{x^2 = -5}}}
x = ± i*sqrt(5) where i = sqrt(-1)
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x^2-11=0
{{{x^2 = 11}}}
x = +sqrt(11)
x = -sqrt(11)
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There are 2 solutions because both work.
In the 2nd eqn, both +sqrt(11) and -sqrt(11) are 11 when they're multiplied by themselves.
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*[invoke solve_quadratic_equation 1,0,-11]
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If you graph them, you'll see that they cross the x-axis in 2 places (the 2nd one).
You can get FREE software to graph these at
www.padowan.dk.com/graph/