Lennie Carroll
2021-02-09
Answered

Solution to quadratic equation Quadratic formula -2 Examples with solution and checking

You can still ask an expert for help

asked 2022-03-30

Reduce quadratic form of 3 variables to sum of 3 squares

I am dealing with following quadratic form:$q:{\mathbb{R}}^{3}\to \mathbb{R}$

$q(x,y,z)=xy+yz+xz$

I am dealing with following quadratic form:

asked 2022-03-23

Let $A\left(\alpha \right)=(\alpha I+(1-\alpha )B)-1$ be the inverse of a convex combination of the n-by-n identity matrix I and a positive semidefinite symmetric matrix B, where the combination is given by $\alpha \in (0,1]$ . The matrix B is not invertible. For some n-dimensional vector c, I want to find $\alpha$ such that

${c}^{T}A\left(\alpha \right)(I-B)A\left(\alpha \right)c=0$

Is there a closed-form solution for$\alpha$ ?

Is there a closed-form solution for

asked 2022-04-23

Help with solution to 2 variable quadratic equation.

Could someone help with an explanation on how to treat the equation below, please? A solution I have read uses the discriminant to find the range i.e.

$9-20{y}^{2}-16y>{\textstyle \phantom{\rule{1em}{0ex}}}\text{or}{\textstyle \phantom{\rule{1em}{0ex}}}=0$ . To me this means treating the variable Y as a constant , is that "acceptable" ? does anyone have a reference for these equations ?

$y{x}^{2}+5y-3x+4=0$

rewrite as$y{x}^{2}-3x+(5y+4)=0$

Could someone help with an explanation on how to treat the equation below, please? A solution I have read uses the discriminant to find the range i.e.

rewrite as

asked 2021-12-22

Explain how to find the vertex of a parabola in standard form.

asked 2020-10-23

The equation ${m}^{\frac{2}{3}}+10{m}^{\frac{1}{3}}+9=0$ is said to be in __________form, because making the substitution u = __________results in a new equation that is quadratic.

asked 2020-12-03

what polynomial can be added to ${x}^{2}+5x+1$ to get a sum of $4{x}^{2}-3$

asked 2022-07-26

Solve with the quadratic formula.

$2{p}^{2}-4p=5$

$2{p}^{2}-4p=5$