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

Cabiolab
2020-12-03
Answered

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

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asked 2022-04-01

System of two quadratics equation, P(x) and Q(x)

If$P\left(x\right)=a{x}^{2}+bx+c\text{}\text{and}\text{}Q\left(x\right)=\u2013a{x}^{2}+dx+c,ac\ne 0$ , then the equation P(x). $Q\left(x\right)=0$ has

(A) Exactly two real roots

(B) At least two real roots

(C) Exactly four real roots

(D) No real roots

If

(A) Exactly two real roots

(B) At least two real roots

(C) Exactly four real roots

(D) No real roots

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Can a quadratic function have a range of $(-\mathrm{\infty},\text{}\mathrm{\infty})$ ? Justify your answer.

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Can't solve quadratic function

I'm trying to get a simple quadratic function of the form$y=a{x}^{2}+bx+c$ which goes through the following points:

$(0;0);(\frac{d}{2};2);(d;0)$

I'm trying to get a simple quadratic function of the form

asked 2022-03-31

Suppose $x}^{1$ and $x}^{2$ are solutions to ${x}^{2}+x+k=0$ , if $x}_{\left\{1\right\}}^{2}+{x}_{1}{x}_{2}+{x}_{2}^{2}=2{k}^{2$ , find the value of k.

asked 2022-08-04

$1.{x}^{2}-25/5-X2.{x}^{2}-7x+6/{x}^{2}+11x+103.{x}^{-9}/{x}^{3}+{x}^{2}-9x-9$ (2nd part) Perform mulitplication or devision and simplyfy $1.{x}^{2}-36/x$ divided by ${x}^{3}-6{x}^{2}/{x}^{2}+x$ (3rd part) perform adition or subtraction and simplyfy $1.3/x-1-52.2/{x}^{2}-x-2+10/{x}^{2}+2x-8$ (last part) simplyfy the complex fraction 1. (x under square rootx- 1/2 x x under square root sign/x under square rootsign.

asked 2022-03-24

Let $<{a}_{n}>$ and $<{b}_{n}>$ be the arithmetic progression sequences each with common difference 2 such that $a}_{1}<{b}_{1$ and let $c}_{n}=\sum _{\{k=1\}}^{n}{a}_{k$ and $d}_{n}=\sum _{\{k=1\}}^{n}{b}_{k$ . Suppose the points ${A}_{n}({a}_{n},{c}_{n})$ and ${B}_{n}({b}_{n},{d}_{n})$ are all lying on the parabola, $y=p{x}^{2}+qx+r$ , then find value of p, q.

asked 2022-07-25

Solve for w.

$200=0.1{w}^{2}+2.155w+20$

$200=0.1{w}^{2}+2.155w+20$