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.
\[-4\cdot x=-8\cdot x^2+7\]
The centre column shows the steps in words, and the right column shows the equation after the step is applied.
\[-4\cdot x=-8\cdot x^2+7\]
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
- determine #a#, #b# and #c#
- calculate discriminant
- reduce to #0#
- determine solutions
- determine number of solutions
- #D=240#
- #D \gt 0#, hence, there are #2# solutions
- #x={{1-\sqrt{3}\cdot \sqrt{5}}\over{4}} \lor x={{\sqrt{3}\cdot \sqrt{5}+1}\over{4}}#
- #a=8#, #b=-4# and #c=-7#
- #8\cdot x^2-4\cdot x-7=0#
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