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Which of the following is true when the discriminant of a quadratic equation is zero?

Sagot :

When an equation's discriminant is zero, the following is the given statement that is correct: There is just one viable solution.

Having the form ax2 + bx + c = 0, quadratic equations are second-degree algebraic expressions. The name "Quadratic" is derived from the word "Quad" which means square. A quadratic equation is an "equation of degree 2," to put it another way. A quadratic equation is employed in numerous situations.

There are a maximum of two solutions for x in the second-degree quadratic equations. These two solutions for x are denoted as (α, β) and are also known as the roots of quadratic equations.

  • Three instances of discrimination exist.
  • The equation has two real solutions if the discriminant is strictly bigger than zero.
  • There is just one real solution if the discriminant equals zero.
  • Additionally, if the discriminant is strictly less than zero, there are no real solutions to the equation, meaning that both of its solutions are complex.

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