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Class 10 Maths · Quadratic equations

Solve: x² − 5x + 6 = 0

How ClarifyBro explains it, scene by scene:

1
Spot the type
This is a quadratic equation: the highest power of x is 2. We can solve it by factorising.
2
Find two numbers
We need two numbers that multiply to +6 and add to −5. Those are −2 and −3.
3
Factorise
Split the middle term: x² − 2x − 3x + 6 = x(x − 2) − 3(x − 2) = (x − 2)(x − 3).
4
Set each factor to zero
x − 2 = 0 or x − 3 = 0, so x = 2 or x = 3.
5
Check
Put x = 2: 4 − 10 + 6 = 0. Put x = 3: 9 − 15 + 6 = 0. Both roots work.

Answer x = 2 or x = 3

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