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.
\[-5\cdot m=-3\cdot m^2+7\]
The centre column shows the steps in words, and the right column shows the equation after the step is applied.
\[-5\cdot m=-3\cdot m^2+7\]
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 solutions
- determine number of solutions
- calculate discriminant
- determine #a#, #b# and #c#
- reduce to #0#
- #D \gt 0#, hence, there are #2# solutions
- #3\cdot m^2-5\cdot m-7=0#
- #D=109#
- #m={{5-\sqrt{109}}\over{6}} \lor m={{\sqrt{109}+5}\over{6}}#
- #a=3#, #b=-5# and #c=-7#
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