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Section 2.7 : Quadratic Equations : A Summary
3. Use the discriminant to determine the type of roots for the following equation. Do not find any roots.
\[49{x^2} - 126x + 102 = 0\]Show All Steps Hide All Steps
Start SolutionThere really isn’t too much to this problem. First, we need to identify the values for computing the discriminant.
\[a = 49\hspace{0.25in}\hspace{0.25in}b = - 126\hspace{0.25in}\hspace{0.25in}c = 102\] Show Step 2Plugging these into the formula for the discriminant gives,
\[{b^2} - 4ac = {\left( { - 126} \right)^2} - 4\left( {49} \right)\left( {102} \right) = - 4116\] Show Step 3The discriminant is negative and so we know that this equation will have two complex roots.