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.
\[-5\cdot q=-4\cdot q^2+8\]
The centre column shows the steps in words, and the right column shows the equation after the step is applied.
\[-5\cdot q=-4\cdot q^2+8\]
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#
- reduce to #0#
- determine number of solutions
- calculate discriminant
- determine solutions
- #D=153#
- #a=4#, #b=-5# and #c=-8#
- #D \gt 0#, hence, there are #2# solutions
- #q={{5-3\cdot \sqrt{17}}\over{8}} \lor q={{3\cdot \sqrt{17}+5}\over{8}}#
- #4\cdot q^2-5\cdot q-8=0#
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