school
Acemy

Nonlinear Equations in One Variable and Systems of Equations

SAT Math· difficulty 4/5

The line y=mx−1y = mx - 1 is tangent to y=x2y = x^2. What is m2m^2?

  • A

    88

  • B

    22

  • C

    11

  • D

    44

    check_circle

Explanation

Set x2=mx−1x^2 = mx - 1, so x2−mx+1=0x^2 - mx + 1 = 0. Tangent means discriminant =0= 0: m2−4=0m^2 - 4 = 0, m2=4m^2 = 4.

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

Practice 10 like thisarrow_forwardPredict my AP score

Related questions

auto_awesomeAll Toolsquestion_answerHomework Q&Amenu_bookAP & SAT PreptimelineLearn Mode