Issolvi ax^2+(a+2)x+1=0

$$a x ^ { 2 } + ( a + 2 ) x + 1 = 0$$

Solvi għal a

$$a=-\frac{2x+1}{x\left(x+1\right)}$$

$$x\neq -1\text{ and }x\neq 0$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Uża l-propjetà distributtiva biex timmultiplika a+2 b'x.

$$ax^{2}+ax+2x+1=0$$

Naqqas 2x miż-żewġ naħat. Xi ħaġa mnaqqsa minn żero tagħti numru negattiv.

$$ax^{2}+ax+1=-2x$$

Naqqas 1 miż-żewġ naħat.

$$ax^{2}+ax=-2x-1$$

Ikkombina t-termini kollha li fihom a.

$$\left(x^{2}+x\right)a=-2x-1$$

Iddividi ż-żewġ naħat b'x^{2}+x.

$$\frac{\left(x^{2}+x\right)a}{x^{2}+x}=\frac{-2x-1}{x^{2}+x}$$

Meta tiddividi b'x^{2}+x titneħħa l-multiplikazzjoni b'x^{2}+x.

$$a=\frac{-2x-1}{x^{2}+x}$$

Iddividi -2x-1 b'x^{2}+x.

$$a=-\frac{2x+1}{x\left(x+1\right)}$$

Solvi għal x

$$\left\{\begin{matrix}x=\frac{\sqrt{a^{2}+4}-a-2}{2a}\text{; }x=-\frac{\sqrt{a^{2}+4}+a+2}{2a}\text{, }&a\neq 0\\x=-\frac{1}{2}\text{, }&a=0\end{matrix}\right.$$