Mobile Notice
You appear to be on a device with a "narrow" screen width (i.e. you are probably on a mobile phone). Due to the nature of the mathematics on this site it is best views in landscape mode. If your device is not in landscape mode many of the equations will run off the side of your device (should be able to scroll to see them) and some of the menu items will be cut off due to the narrow screen width.
Section 2.7 : Quadratic Equations : A Summary
4. Use the discriminant to determine the type of roots for the following equation. Do not find any roots.
\[9{x^2} + 151 = 0\]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.
\[a = 9\hspace{0.25in}\hspace{0.25in}b = 0\hspace{0.25in}\hspace{0.25in}c = 151\] Show Step 2Plugging 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 3The discriminant is negative and so we know that this equation will have two complex roots.