Question 308536
use a graph to estimate the solutions of the equation, and to check my solutions algebraically.

-4x^2-8x=12 
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Divide thru by -4 to simplify the equation.
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x^2 + 2x = -3
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Graph the two equations
y = x^2+2x
and 
y = -3
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{{{graph(400,300,-10,10,-10,10,x^2+2x,-3)}}}
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Find the points of intersection of the two graphs.
Note: The graphs do not intersect; there is no Real
Number solutions for the problem.
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Solving analytically:
x^2 + 2x +3 = 0
x = [-2 +- sqrt(4 -4*3)]/2
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x = [-2 +- sqrt(-8)]/2
x = [-2 +-2isqrt(2)]/2
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x = [-1 +- isqrt(2)]
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Note: These solutions are complex numbers.
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Cheers,
Stan H.