Mathematics Class 10
Quadratic Equations
Solve any quadratic equation, and know how many real roots it has first.
14 lessons · ~104 min total
Track progress — 0 of 14 lessons read 0%
Lessons in this topic
- 0 Start here A roadmap: standard form, roots, two solving methods, and the one number that counts them. · 5 min You are here
- 1 Straighten it first Tidy every term onto one side, then let the highest surviving power name the equation. · 8 min
- 2 What a root is A root is a value that balances the equation, checked by one substitution. · 8 min
- 3 Split and solve Split the middle term, write the brackets, and set each one to zero. · 9 min
- 4 One formula for all of them The quadratic formula answers every equation with real roots, in exact form. · 9 min
- 5 The decider b² − 4ac announces two roots, one repeated root, or none — before any solving. · 8 min
- 6 Checkpoint: the form, the roots and the formula A graded check on four ideas — tidying first, testing a root, guarding the lost one, and reading the decider. · 5 min
- 7 Two roots, two kinds A perfect-square decider gives rational roots; any other positive decider gives irrational ones. · 8 min
- 8 Twice the same, or never A decider at zero repeats one root; below zero, no real number balances the equation. · 8 min
- 9 Choosing the method, checking the answer The decider says which method to use, and a substitution checks every answer. · 8 min
- 10 Checkpoint: the decider at work A graded check on the last four ideas — the two kinds of pair, the repeated root, the wall below zero, and the choosing rule. · 5 min
- 11 Stories that square Name the unknown, build the equation from the conditions, solve, then check it in the world. · 9 min
- 12 The big picture The whole chapter on one screen. · 6 min
- 13 Track quiz Cheat-sheet table plus a reveal quiz — one question per idea. · 8 min
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