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.
\[-9\cdot x=-7\cdot x^2+9\]
The centre column shows the steps in words, and the right column shows the equation after the step is applied.
\[-9\cdot x=-7\cdot x^2+9\]
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
- calculate discriminant
- reduce to #0#
- determine solutions
- determine #a#, #b# and #c#
- determine number of solutions
- #a=7#, #b=-9# and #c=-9#
- #D \gt 0#, hence, there are #2# solutions
- #7\cdot x^2-9\cdot x-9=0#
- #D=333#
- #x={{9-3\cdot \sqrt{37}}\over{14}} \lor x={{3\cdot \sqrt{37}+9}\over{14}}#
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