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.
\[6\cdot s=-7\cdot s^2+4\]
The centre column shows the steps in words, and the right column shows the equation after the step is applied.
\[6\cdot s=-7\cdot s^2+4\]
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
- reduce to #0#
- calculate discriminant
- determine #a#, #b# and #c#
- determine solutions
- #s={{-\sqrt{37}-3}\over{7}} \lor s={{\sqrt{37}-3}\over{7}}#
- #a=7#, #b=6# and #c=-4#
- #D=148#
- #7\cdot s^2+6\cdot s-4=0#
- #D \gt 0#, hence, there are #2# solutions
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