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The graph of y = ax2 + bx + c in the standard (x, y) coordinate plane is shown below. When y = 0, which of the following best describes the solution set for x?
  • a)
    2 imaginary solutions
  • b)
    1 double imaginary solution
  • c)
    1 real and 1 imaginary solution
  • d)
    2 double imaginary solution
  • e)
    2 real solutions
Correct answer is option 'E'. Can you explain this answer?
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The graph of y = ax2 + bx + c in the standard (x, y) coordinate plane ...
In a graph, the values at which y = 0 will be where the graph of a function crosses the x-axis. As seen in the figure, the graph of y = ax2 + bx + c crosses the x-axis twice; thus there will be two real solutions for the equation 0 = ax2 + bx + c. Imaginary solutions would apply if the graph did not cross the x-axis at any point.
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The graph of y = ax2 + bx + c in the standard (x, y) coordinate plane is shown below. When y = 0, which of the following best describes the solution set for x?a)2 imaginary solutionsb)1 double imaginary solutionc)1 real and 1 imaginary solutiond)2 double imaginary solutione)2 real solutionsCorrect answer is option 'E'. Can you explain this answer?
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