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.
\[-7\cdot q=-5\cdot q^2+7\]
The centre column shows the steps in words, and the right column shows the equation after the step is applied.
\[-7\cdot q=-5\cdot q^2+7\]
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
- reduce to #0#
- determine #a#, #b# and #c#
- determine number of solutions
- determine solutions
- calculate discriminant
- #q={{7-3^{{{3}\over{2}}}\cdot \sqrt{7}}\over{10}} \lor q={{3^{{{3}\over{2}}}\cdot \sqrt{7}+7}\over{10}}#
- #a=5#, #b=-7# and #c=-7#
- #D \gt 0#, hence, there are #2# solutions
- #5\cdot q^2-7\cdot q-7=0#
- #D=189#
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