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Nonlinear Equations in One Variable and Systems of Equations

SAT Math· difficulty 4/5

If rr and ss are roots of x2−8x+15=0x^2 - 8x + 15 = 0, what is r2+s2r^2 + s^2?

  • A

    3434

    check_circle
  • B

    6464

  • C

    4949

  • D

    3030

Explanation

r+s=8r + s = 8, rs=15rs = 15. r2+s2=(r+s)2−2rs=64−30=34r^2 + s^2 = (r+s)^2 - 2rs = 64 - 30 = 34.

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