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.
\[5\cdot n=-6\cdot n^2+3\]
The centre column shows the steps in words, and the right column shows the equation after the step is applied.
\[5\cdot n=-6\cdot n^2+3\]
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
- determine solutions
- calculate discriminant
- determine number of solutions
- reduce to #0#
- determine #a#, #b# and #c#
- #6\cdot n^2+5\cdot n-3=0#
- #a=6#, #b=5# and #c=-3#
- #D=97#
- #n={{-\sqrt{97}-5}\over{12}} \lor n={{\sqrt{97}-5}\over{12}}#
- #D \gt 0#, hence, there are #2# solutions
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