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.
\[3\cdot q=-9\cdot q^2+5\]
The centre column shows the steps in words, and the right column shows the equation after the step is applied.
\[3\cdot q=-9\cdot q^2+5\]
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 number of solutions
- determine solutions
- reduce to #0#
- calculate discriminant
- determine #a#, #b# and #c#
- #D=189#
- #a=9#, #b=3# and #c=-5#
- #D \gt 0#, hence, there are #2# solutions
- #9\cdot q^2+3\cdot q-5=0#
- #q={{-\sqrt{3}\cdot \sqrt{7}-1}\over{6}} \lor q={{\sqrt{3}\cdot \sqrt{7}-1}\over{6}}#
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