Consider three two-digit numbers whose square is exactly 100 more than 21 times the number itself. If the number is x, write the equation in standard form and find the value of x.
Class 10Standard Form and RootsQuadratic Equations
A27
B50
C23
D25
Step-by-Step Solution
x2=21x+100 gives x2−21x−100=0=(x−25)(x+4). The positive two-digit solution is x=25.
Answer: D) 25
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