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Nonlinear Equations in One Variable and Systems of Equations

SAT Math· difficulty 4/5

The quadratic x2−7x+12=0x^2 - 7x + 12 = 0 has roots r1r_1 and r2r_2. What is r1⋅r2+r1+r2r_1 \cdot r_2 + r_1 + r_2?

  • A

    55

  • B

    1919

    check_circle
  • C

    1212

  • D

    77

Explanation

By Vieta's: r1+r2=7r_1 + r_2 = 7, r1r2=12r_1 r_2 = 12. Sum: 12+7=1912 + 7 = 19.

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