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.
\[-5\cdot q=-8\cdot q^2+6\]
The centre column shows the steps in words, and the right column shows the equation after the step is applied.
\[-5\cdot q=-8\cdot q^2+6\]
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 number of solutions
- determine solutions
- calculate discriminant
- reduce to #0#
- #D \gt 0#, hence, there are #2# solutions
- #8\cdot q^2-5\cdot q-6=0#
- #D=217#
- #a=8#, #b=-5# and #c=-6#
- #q={{5-\sqrt{7}\cdot \sqrt{31}}\over{16}} \lor q={{\sqrt{7}\cdot \sqrt{31}+5}\over{16}}#
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