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.
\[-2\cdot q=-6\cdot q^2+3\]
The centre column shows the steps in words, and the right column shows the equation after the step is applied.
\[-2\cdot q=-6\cdot q^2+3\]
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
- determine solutions
- determine #a#, #b# and #c#
- reduce to #0#
- determine number of solutions
- calculate discriminant
- #q={{1-\sqrt{19}}\over{6}} \lor q={{\sqrt{19}+1}\over{6}}#
- #a=6#, #b=-2# and #c=-3#
- #D \gt 0#, hence, there are #2# solutions
- #6\cdot q^2-2\cdot q-3=0#
- #D=76#
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