10 Questions
The equation is said to have imaginary roots when $b^2 - 4ac < 0$.
True
For the equation $2x^2 + 3x + 1 = 0$, the roots are 3 + i and 3 - i.
False
In the equation $ax^2 + bx + c = 0$, if a and c are real numbers with the same sign and b = 0, the roots are pure real numbers.
False
If a, b, and c are rational numbers and $b^2 - 4ac < 0$, then the roots of the equation are real numbers.
False
When dividing by a negative number, the inequality sign in an inequality equation remains the same.
False
The discriminant can be calculated using the formula $b^2 - 4ac$.
True
The sum of the roots of a quadratic equation can be found using the formula $-b/a$.
True
The product of the roots of a quadratic equation can be found using the formula $c/a$.
True
For a quadratic equation to have real roots, the discriminant must be greater than or equal to zero.
True
In the quadratic formula, if $b^2 - 4ac = 0$, then the roots will be equal.
True
Test your knowledge on quadratic equations by determining the number of x-intercepts, analyzing the discriminant, and identifying the nature of roots based on different scenarios. Practice without solving the equations.
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