Algebra - Quadratic Equations : A Summary

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4. Use the discriminant to determine the type of roots for the following equation. Do not find any roots.

\[9{x^2} + 151 = 0\]

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Start Solution

There really isn’t too much to this problem. First, we need to identify the values for computing the discriminant.

\[a = 9\hspace{0.25in}\hspace{0.25in}b = 0\hspace{0.25in}\hspace{0.25in}c = 151\] Show Step 2

Plugging these into the formula for the discriminant gives,

\[{b^2} - 4ac = {\left( 0 \right)^2} - 4\left( 9 \right)\left( {151} \right) = - 5436\] Show Step 3

The discriminant is negative and so we know that this equation will have two complex roots.