Nonlinear Equations in One Variable and Systems of Equations

SAT Math· difficulty 4/5

The product of two consecutive positive integers is 132. What is the smaller integer?

  • A

    1313

  • B

    1111

    check_circle
  • C

    1010

  • D

    1212

Explanation

n(n+1)=132n(n+1) = 132, n2+n132=0n^2 + n - 132 = 0, (n11)(n+12)=0(n-11)(n+12) = 0, n=11n = 11.

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