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.
\[-3\cdot x=-5\cdot x^2+5\]
The centre column shows the steps in words, and the right column shows the equation after the step is applied.
\[-3\cdot x=-5\cdot x^2+5\]
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 solutions
- determine #a#, #b# and #c#
- determine number of solutions
- calculate discriminant
- reduce to #0#
- #D \gt 0#, hence, there are #2# solutions
- #x={{3-\sqrt{109}}\over{10}} \lor x={{\sqrt{109}+3}\over{10}}#
- #D=109#
- #5\cdot x^2-3\cdot x-5=0#
- #a=5#, #b=-3# and #c=-5#
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