Quadratic Function Examples and Solutions

High School
Algebra
Algebra I
Quadratic function and equation

Recent questions in Quadratic function and equation

Jackson Floyd 2022-04-02

Factoring the quadratic equation
$3 x^{2} - 23 x + 14 = 0$

Adolfo Hebert 2022-04-02

Factoring Quadratic Formula Equation
$2 x y^{2} + 8 x y - z = 0$
$y = \frac{- 8 x \pm \sqrt{{(8 x)}^{2} - 4 (2 x) (- z)}}{2 (2 x)}$

Petrolovujhm 2022-04-02

Factoring $\frac{n (n + 1)}{2} x^{2} - x - 2$ for $n \in Z$

Jazmyn Holden 2022-04-02

Elementary solutions of the equation of a quadratic formula
We know that when $A = 0$ , the quadratic equation $A x^{2} + B x + C = 0$ has one solution, $- \frac{C}{B}$ .

Nathanael Hansen 2022-04-02

Don't understand the step in Deriving quadratic equation
Factorize the left side:
${(x + \frac{b}{2 a})}^{2} = - \frac{c}{a} + \frac{b^{2}}{4 a^{2}}$

Amya Horn 2022-04-02

Domain of $\sqrt{x}$ function when solving $x^{2} - 2 = 0$

amonitas3zeb 2022-04-02

Does this "symmetric" inequality holds?
Let $σ_{1} \leq σ_{2}, σ_{1}^{\cdot} < σ_{2}^{\cdot}$ be positive real numbers and suppose that $σ_{1} σ_{2} = σ_{1}^{\cdot} σ_{2}^{\cdot}$
Is it true that
$1 - (σ_{1} + σ_{2}) \geq {(σ_{1}^{\cdot})}^{2} + {(σ_{2}^{\cdot})}^{2} - σ_{1}^{\cdot} σ_{1} - σ_{2}^{\cdot} σ_{2},,,, ?$

Leroy Davidson 2022-04-02

The equation $2 x^{2} + a x + (b + 3) = 0$ has real roots. Find the minimum value of $a^{2} + b^{2}$

atenienseec1p 2022-04-02

Suppose we have a positive continuous variables $0 \leq x \leq U B$ is a known upper bound.

Nadia Clayton 2022-04-02

Sum of the first n quadratic integers
To prove that
$S = \sum_{k = 1}^{n} k^{2} = \frac{n (2 n + 1) (n + 1)}{6}$

palmantkf4u 2022-04-02

Solving the quadratic equation
$x^{2} = 1 \pm i \sqrt{3}$
$x^{2} = - 2 ω, - 2 ω^{2}$
where $ω$ is a cube root of unity
Then $x = \pm i \sqrt{2} ω^{2}, \pm i \sqrt{2} ω$
Now $| x | = \sqrt{2}$ , so the points should lie on a circle of radius $\sqrt{2}$ , but how can we tell if it’s a square, rectangle or rhombus ?

Arianna Villegas 2022-04-02

Solving the inequality $x^{2} + 4 x + 3 > 0$

Makayla Stevens 2022-04-02

Solving the equation ${(x^{2} - 7 x + 11)}^{(x^{2} - 13 x + 42)} = 1$ .
The question is to find the number of positive integer values possible for x. The answer is 6. But I am only able to find 4(2,5,6,7). What are the other two possible values?

Coradossi7xod 2022-04-02

Solving exponential equation with quadratic indices
$e^{2 x^{2} + 3 x - 1} - 3 e^{x^{2} + 1} + 5 e^{2 x + 3} = 0$

Jasper Dougherty 2022-04-02

Set $f (x) = A x^{2} + B^{x} + C$ and $g (x) = a x^{2} + b x + c$ with $A \times a \neq 0, A, a B, b, C, c \int R$ satisfies:
$| f (x) | \geq | g (x) | \forall x \in R$
Prove that $| B^{2} - 4 A C | \geq | b^{2} - 4 a c |$

Caerswso1pc 2022-04-02

Roots of hyperbolic functions
I am having difficulty with understanding one part of the answer to the following:
Find conditions on a, b, and c which are necessary and sufficient to ensure that the equations
$a \cos h x + b \sin h x = c$
has exactly one root.

Miley Caldwell 2022-04-02

Range of x for which the modulus inequality will be valid: $| x^{2} - 2 x - 8 | > 2 x$ : Need clarification about solution set

David Rodgers 2022-04-02

Range of k for roots of $| x^{2} - 1 | + x^{2} + k x = 0$
lying between (0, 2)

Blackettyl2j 2022-04-02

Quadratic function with roots in $[0, 1]$ . Prove that $f (0) \geq \frac{4}{9}$ or $f (1) \geq \frac{4}{9}$

Oxinailelpels3t14 2022-04-02

Quadratic over Z7 no solutions?
$3 x^{2} + x + 1 = 0$

Finding a reliable quadratic function solver is quite popular today as students look for answers to equations that they encounter during those Algebra tasks. Still, quadratic function examples with answers are not so common, which is why we have collected related questions and answers for you to help you find various solutions and learn. Take your time to explore quadratic function questions. If you manage to understand at least one quadratic function solution, you will understand all the rest because it is exactly how things work. Even the most complex quadratic function equation makes sense when you have an example.

Algebra I

Quadratic Function Real Life Examples and Applications