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.
\[-8\cdot m=-9\cdot m^2+3\]
The centre column shows the steps in words, and the right column shows the equation after the step is applied.
\[-8\cdot m=-9\cdot m^2+3\]
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 number of solutions
- determine #a#, #b# and #c#
- determine solutions
- #m={{4-\sqrt{43}}\over{9}} \lor m={{\sqrt{43}+4}\over{9}}#
- #D=172#
- #D \gt 0#, hence, there are #2# solutions
- #a=9#, #b=-8# and #c=-3#
- #9\cdot m^2-8\cdot m-3=0#
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