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Nonlinear Equations in One Variable and Systems of Equations

SAT Math· difficulty 4/5

A quadratic has roots whose sum is −3-3 and product is 55. Which equation has these roots?

  • A

    x2+3x+5=0x^2 + 3x + 5 = 0

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  • B

    x2+3x−5=0x^2 + 3x - 5 = 0

  • C

    x2−3x+5=0x^2 - 3x + 5 = 0

  • D

    x2−3x−5=0x^2 - 3x - 5 = 0

Explanation

x2−(sum)x+product=x2−(−3)x+5=x2+3x+5x^2 - (\text{sum})x + \text{product} = x^2 - (-3)x + 5 = x^2 + 3x + 5.

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