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which two values of x are roots of the polynomial below?
x^2+3x+5

Please help fast! which two values of x are roots of the polynomial below? x^2+3x-example-1

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Question :

Which two values of x are roots of the polynomial below?

  • x² + 3x + 5

Answer :

  • The correct options are C and D.

To find root of a quadratic polynomial ax² + bx + c, we have a formula :


\tt x = - \frac{ - b ± \sqrt{ {b}^(2) - 4ac } }{2a}

Here, in the given polynomial,

  • a = 1
  • b = 3
  • c = 5


\tt : \implies x = - \frac{ - 3 ± \sqrt{ {3}^(2) - 4 * 1 * 5 } }{2 * 1} \\ \tt : \implies x = - ( - 3 ± √( 9 -20 ) )/(2) \\ \tt : \implies x = - ( - 3 ± √( 9 -20 ) )/(2) \\ \tt : \implies x = - ( - 3 ± √( - 11 ) )/(2) \\ \tt : \implies \color{cyan}x = - ( - 3 + √( - 11 ) )/(2) \: and \: x = - ( - 3 - √( - 11 ) )/(2)

Hence, C and D are correct options.

User Mark Woodward
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