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Question

Solve: x² − 5x + 6 = 0 and verify the roots. (NCERT Class 10, Quadratic Equations – Important)

Answer: Factorize: x²−5x+6=(x−2)(x−3)=0 ⇒ x=2,3. Verification: x=2 gives 4−10+6=0; x=3 gives 9−15+6=0.

Question

Solve: x² − 5x + 6 = 0 and verify the roots. (NCERT Class 10, Quadratic Equations – Important)

Answer: Factorize: x²−5x+6=(x−2)(x−3)=0 ⇒ x=2,3. Verification: x=2 gives 4−10+6=0; x=3 gives 9−15+6=0.