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.
\[4\cdot s=-6\cdot s^2+9\]
The centre column shows the steps in words, and the right column shows the equation after the step is applied.
\[4\cdot s=-6\cdot s^2+9\]
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
- determine #a#, #b# and #c#
- determine solutions
- determine number of solutions
- reduce to #0#
- calculate discriminant
- #6\cdot s^2+4\cdot s-9=0#
- #D \gt 0#, hence, there are #2# solutions
- #D=232#
- #a=6#, #b=4# and #c=-9#
- #s={{-\sqrt{2}\cdot \sqrt{29}-2}\over{6}} \lor s={{\sqrt{2}\cdot \sqrt{29}-2}\over{6}}#
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