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Nonlinear Equations in One Variable and Systems of Equations

SAT Math· difficulty 3/5

Which equation has exactly one real solution?

  • A

    x2+4x+3=0x^2 + 4x + 3 = 0

  • B

    x2−4x+5=0x^2 - 4x + 5 = 0

  • C

    x2+4x+4=0x^2 + 4x + 4 = 0

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  • D

    x2+4x+5=0x^2 + 4x + 5 = 0

Explanation

x2+4x+4=(x+2)2=0x^2 + 4x + 4 = (x+2)^2 = 0 has discriminant 0, one solution.

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