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.
\[-5\cdot n=-5\cdot n^2+4\]
The centre column shows the steps in words, and the right column shows the equation after the step is applied.
\[-5\cdot n=-5\cdot n^2+4\]
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
- reduce to #0#
- calculate discriminant
- determine #a#, #b# and #c#
- determine solutions
- determine number of solutions
- #D=105#
- #5\cdot n^2-5\cdot n-4=0#
- #D \gt 0#, hence, there are #2# solutions
- #n={{5-\sqrt{3}\cdot \sqrt{5}\cdot \sqrt{7}}\over{10}} \lor n={{\sqrt{3}\cdot \sqrt{5}\cdot \sqrt{7}+5}\over{10}}#
- #a=5#, #b=-5# and #c=-4#
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