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.
\[-2\cdot n=-3\cdot n^2+2\]
The centre column shows the steps in words, and the right column shows the equation after the step is applied.
\[-2\cdot n=-3\cdot n^2+2\]
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
- determine solutions
- determine number of solutions
- calculate discriminant
- reduce to #0#
- determine #a#, #b# and #c#
- #D=28#
- #a=3#, #b=-2# and #c=-2#
- #n={{1-\sqrt{7}}\over{3}} \lor n={{\sqrt{7}+1}\over{3}}#
- #3\cdot n^2-2\cdot n-2=0#
- #D \gt 0#, hence, there are #2# solutions
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