Quadratic Function Examples and Solutions

High School
Algebra
Algebra I
Quadratic function and equation

Recent questions in Quadratic function and equation

Darian Silva 2022-04-08

I've been trying to factorise the following equation in all sorts of ways. The problem I encounter every time is not being able to do anything with the constant i.e. -20. Would any of you mind helping me with it?
$2 x^{2} + x y - 6 y^{2} - 6 x + 23 y - 20 = 0$

Kennedy Ford 2022-04-08

I tried to solving this it became 4th power of equation
The value of "x" in the equation $\frac{x}{1 - x} + \sqrt{1 - x} = 2 \frac{1}{2}$

runddansm88e 2022-04-08

I need some help to solving a quadratic equation, but translating it into Dedekind Cuts and using the completing the square way. I first solved the equation in a usual way so i can know where do i have to get, but the Dedekind Cut stuff, I don't know how to use it on it.
Given: $x^{2} + 6 x + 3 = 0$

Tiffany Maldonado 2022-04-08

How to prove $4 \cos (x) + x \sin (x) \geq 4 - x^{2}$ for all real x, with equality if and only if $x = 0$ ?

Angelina Kaufman 2022-04-08

Transformation z to w plane
$z^{2} - 2 + 4 = 0$

fernandoval3sbr 2022-04-08

The question goes like this:
Given the expression $\cos (a x^{2} + b x + c) = - 1$ has two distinct real roots $x = 1 and x = - 1$ , a, b, $c \in (2, 5)$ , find the maximum value of $\frac{a c}{b^{2}}$ .

Zane Decker 2022-04-08

The quadratic equation whose roots are $\sec 2 θ$ and $\csc θ$ can be
a) $x^{2} - 2 x + 2 = 0$
b) $x^{2} - 5 x + 5 = 0$
c) $x^{2} - 7 x + 7 = 0$
d) $x^{2} - 9 x + 9 = 0$

Brielle James 2022-04-08

The points representing the complex number z for which $| z + 1 | < | z - 1 |$ lies in the interior of a circle. State "TRUE" or "FALSE".
In other words, the distance of z from (-1,0) is less than (1,0) $| x + i y + 1 | < | x + i y - 1 |$ which gives $4 x < 0$ . I have two questions 1) What is the y co-ordinate? 2) What does the interior of a circle mean? What is the co-ordinate / equation of this circle?

Leonard Montes 2022-04-07

Finding the vertex of $y = x^{2} - 6 x + 1$ . My solution doesn't match the book.

Kasey Castillo 2022-04-07

Finding the maximum and minimum values of
$f (x) = | x - 1 | + | x^{2} - 2 x |$ for $x \in [0, 2]$

Ormezzani6cuu 2022-04-07

Finding a Quadratic Function Find a quadratic function f (with integer coefficients) that has the givenzeros. Assume that b is a positive integer and a is an integer not equal to zero.
(a) $\pm \sqrt[()]{b} i$
(b) $a \pm b i$

Ramiro Grant 2022-04-07

Find zeros of a polynomial and apply them to an another equation
If a and b are the zeros of quadratic polynomial $x^{2} - 4 x - 5$ , find the value of $\frac{1}{a^{3}} + \frac{1}{b^{3}}$ .

Jazmin Strong 2022-04-07

Find the values of x in terms of a in $x^{2} + \frac{{(a x)}^{2}}{{(x + a)}^{2}} = 3 a^{2}$

Achatesopo8 2022-04-07

Find the value of $x^{5} + \frac{1}{x^{5}}$ - question about correctness of method

Bryanna Leon 2022-04-07

Find the two complex numbers whose sum is $5 - i$ and product is $8 + i$

Dakota Livingston 2022-04-07

Find the range of a for the following quadratic equation.
$f (x) = x^{2} + (a + 3) | x | + 4 = 0$

Ormezzani6cuu 2022-04-07

How to isolate a in this equation?
I have the following equation that I would like to isolate the variable a from, but I am a bit stuck. The variable k is known; however, x and a are unknowns.
$x^{2} + \frac{a}{(1 - a)} x - \frac{1}{2 (1 - a) k} = 0$

Essence Ingram 2022-04-06

Finding the vertex of a quadratic function:
$5 x^{2} - 20 x + 15$

Shaylee House 2022-04-06

Finding the roots of
$x^{\frac{2}{3}} + x^{\frac{1}{3}} - 2$

Colt Rhodes 2022-04-06

Finding roots of polynomial $X^{2} - X + 19$ in $\frac{Z}{61} Z$

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