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.
\[-8\cdot q=-2\cdot q^2+5\]
The centre column shows the steps in words, and the right column shows the equation after the step is applied.
\[-8\cdot q=-2\cdot q^2+5\]
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
- reduce to #0#
- determine #a#, #b# and #c#
- #2\cdot q^2-8\cdot q-5=0#
- #D=104#
- #D \gt 0#, hence, there are #2# solutions
- #q={{4-\sqrt{2}\cdot \sqrt{13}}\over{2}} \lor q={{\sqrt{2}\cdot \sqrt{13}+4}\over{2}}#
- #a=2#, #b=-8# and #c=-5#
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