MYP Standard Mathematics Topic 5.4 Quadratic…

If the discriminant $\Delta$ of the quadratic equation $ax^2 + bx + c = 0$ is exactly equal to $b^2$ , which of the following is a necessary conclusion about the solutions of the equation?

Find the values of $k$ such that the equation $x^2 - kx + 9 = 0$ has exactly one real solution.

Find the exact solutions for the quadratic equation $2m^2-14m+23=0$ using the quadratic formula.

Fill in the blank: To solve $x^2 + 12x = 5$ by completing the square, you must add ________ to both sides of the equation to create a perfect square trinomial on the left side.

True or False: The quadratic formula can be used to solve the equation ${x^2 - 9 = 0}$ by substituting ${a = 1, b = 0,}$ and ${c = -9}$ .

One of the solutions must be $0$

There is exactly one repeated solution

There are no real solutions

The solutions are $x = b$ and $x = -b$

$k = 36$ or $k = -36$

$\frac{-7 \pm \sqrt{3}}{2}$

$\frac{14 \pm \sqrt{12}}{2}$

$\frac{7 \pm \sqrt{12}}{2}$

$\frac{7 \pm \sqrt{3}}{2}$

MYP Standard Mathematics 5.4 Quadratic Equations Questionbank

MYP Standard Mathematics 5.4 Quadratic Equations Questionbank

MYP Standard Mathematics 5.4 Quadratic Equations Questionbank

MYP Standard Mathematics 5.4 Quadratic Equations Questionbank

MYP MYP Standard Mathematics Topic 5.4 Quadratic Equations Questionbank