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.
\[6\cdot s=-5\cdot s^2+9\]
The centre column shows the steps in words, and the right column shows the equation after the step is applied.
\[6\cdot s=-5\cdot s^2+9\]
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 solutions
- determine number of solutions
- determine #a#, #b# and #c#
- #D=216#
- #5\cdot s^2+6\cdot s-9=0#
- #D \gt 0#, hence, there are #2# solutions
- #a=5#, #b=6# and #c=-9#
- #s={{-\sqrt{2}\cdot 3^{{{3}\over{2}}}-3}\over{5}} \lor s={{\sqrt{2}\cdot 3^{{{3}\over{2}}}-3}\over{5}}#
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