Mastering Quadratic Equations
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Questions and Answers

Which of the following is the standard form of a quadratic equation?

  • $ax^2 + bx + c = 0$ (correct)
  • $ax^2 + bx = c$
  • $x^2 + bx + c = 0$
  • $ax^2 + bx + c = 1$

What are the coefficients of a quadratic equation?

  • The linear coefficient, the variable coefficient, and the constant coefficient
  • The quadratic coefficient, the variable coefficient, and the constant coefficient
  • The quadratic coefficient, the linear coefficient, and the constant coefficient (correct)
  • The quadratic coefficient, the linear coefficient, and the variable coefficient

How many solutions does a quadratic equation have?

  • At least two solutions
  • At most two solutions (correct)
  • Exactly two solutions
  • Exactly one solution

What happens if all the coefficients of a quadratic equation are real numbers?

<p>There are either two real solutions, or a single real double root, or two complex solutions that are complex conjugates of each other (A)</p> Signup and view all the answers

How many roots does a quadratic equation always have?

<p>Two roots, if complex roots are included (D)</p> Signup and view all the answers

Which of the following is the standard form of a quadratic equation?

<p>$ax^2 + bx + c = 0$ (B)</p> Signup and view all the answers

What are the coefficients of a quadratic equation?

<p>$a$, $b$, and $c$ (A)</p> Signup and view all the answers

How many roots does a quadratic equation always have?

<p>At most two (A)</p> Signup and view all the answers

What happens if all the coefficients of a quadratic equation are real numbers?

<p>There are either two real solutions or a single real double root (B)</p> Signup and view all the answers

What is the equation called if a = 0 and b ≠ 0?

<p>Linear equation (D)</p> Signup and view all the answers

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