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Emily778
WHAT IS THE SOLUTION to 2x^2+x+2=0?
by adding them both together.
it has imaginary roots
For this problem, you should use the quadratic formula see http://www.khanacademy.org/math/trigonometry/polynomial_and_rational/quad_formula_tutorial/v/using-the-quadratic-formula for how to do it. You will get a minus number inside a square root, which means a complex number.
isn't the answer x=-1+isqrt15/2?
almost, the bottom should be 2*a = 4 \[ x= \frac{-1 ± \sqrt{15} \ i}{4} \]