Quadratic equations: Solving quadratic equations
The quadratic formula 1
Drag the steps to solve the equation below by means of the quadratic formula in the correct order.
\[3\cdot p=-4\cdot p^2+3\]
The centre column shows the steps in words, and the right column shows the equation after the step is applied.
\[3\cdot p=-4\cdot p^2+3\]
The centre column shows the steps in words, and the right column shows the equation after the step is applied.
- step 1
- step 2
- step 3
- step 4
- step 5
- calculate discriminant
- determine number of solutions
- determine solutions
- determine #a#, #b# and #c#
- reduce to #0#
- #p={{-\sqrt{3}\cdot \sqrt{19}-3}\over{8}} \lor p={{\sqrt{3}\cdot \sqrt{19}-3}\over{8}}#
- #D=57#
- #D \gt 0#, hence, there are #2# solutions
- #a=4#, #b=3# and #c=-3#
- #4\cdot p^2+3\cdot p-3=0#
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