Priya is now x years old. The square of her age is 12 more than 4 times her age. Forming x2−4x−12=0 and solving by factorisation, find her age (in years).
Class 10Solving by FactorisationQuadratic Equations
A12
B6
C5
D7
Step-by-Step Solution
x2−4x−12=(x−6)(x+2)=0, so x=6 or x=−2. Age must be positive, so x=6 years.
Answer: B) 6
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