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.
\[-7\cdot n=-8\cdot n^2+8\]
The centre column shows the steps in words, and the right column shows the equation after the step is applied.
\[-7\cdot n=-8\cdot n^2+8\]
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 #a#, #b# and #c#
- determine solutions
- calculate discriminant
- reduce to #0#
- determine number of solutions
- #D=305#
- #8\cdot n^2-7\cdot n-8=0#
- #D \gt 0#, hence, there are #2# solutions
- #a=8#, #b=-7# and #c=-8#
- #n={{7-\sqrt{5}\cdot \sqrt{61}}\over{16}} \lor n={{\sqrt{5}\cdot \sqrt{61}+7}\over{16}}#
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