Quadratic Equations flashcards: roots and forms

Question 1

What is the standard form of a quadratic equation?

Accepted Answer

A quadratic equation in standard form is $ax^2+bx+c=0$, where $a,b,c$ are real numbers and $a
eq 0$.

Question 2

State the quadratic formula for solving $ax^2+bx+c=0$.

Accepted Answer

$$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$$ where $a
eq 0$ and $b^2-4ac$ is the discriminant.

Question 3

Solve by completing the square: $x^2+6x+5=0$.

Accepted Answer

$(x+3)^2-4=0\Rightarrow (x+3)^2=4\Rightarrow x=-3\pm 2$, so $x=-1$ or $x=-5$.

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