🏆 Daily Math Board Challenge (2026 Edition)
Check whether (x + 1)² = 2(x − 3) is a quadratic equation.
🎯 Chapter Readiness Score35%
⚡ Key Formulas at a Glance
Formula (Hover/Click)
Quadratic Formula
x = (−b ± √(b²−4ac)) / 2a
Formula (Hover/Click)
Discriminant (Δ)
Δ = b² − 4ac (Δ>0 distinct, Δ=0 equal, Δ<0 no real)
Formula (Hover/Click)
Sum of Roots (α+β)
Formula (Hover/Click)
Product of Roots (αβ)
Formula (Hover/Click)
Completing Square
(x + b/2a)² = (b² − 4ac) / 4a²
Formula (Hover/Click)
Equation from Roots
x² − (Sum)x + (Product) = 0
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1NCERT Class 10 Ex 4.1 Q1
Check whether the following are quadratic equations: (i) (x + 1)² = 2(x − 3) (ii) x² − 2x = (−2)(3 − x).
▶ Show Detailed Solution
(i) (x + 1)² = 2(x − 3):
x² + 2x + 1 = 2x − 6 ⇒ x² + 7 = 0.
Degree is 2 ⇒ It IS a quadratic equation ■
(ii) x² − 2x = (−2)(3 − x):
x² − 2x = −6 + 2x ⇒ x² − 4x + 6 = 0.
Degree is 2 ⇒ It IS a quadratic equation ■