Nonlinear Equations in One Variable and Systems of Equations

SAT Math· difficulty 4/5

Roots of 2x212x+k=02x^2 - 12x + k = 0 differ by 2. What is kk?

  • A

    1818

  • B

    1616

    check_circle
  • C

    1010

  • D

    1414

Explanation

Sum =6= 6, so roots are 44 and 22 (differ by 2). Product =8=k/2= 8 = k/2, k=16k = 16.

Want 10 more like this — adaptive to your weak spots?

Related questions