Issolvi ax^2=a+b-bx

$$a x ^ { 2 } = a + b - b x$$

Solvi għal a (complex solution)

$$\left\{\begin{matrix}a=-\frac{b}{x+1}\text{, }&x\neq -1\\a\in \mathrm{C}\text{, }&x=1\text{ or }\left(b=0\text{ and }x=-1\right)\end{matrix}\right.$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Naqqas a miż-żewġ naħat.

$$ax^{2}-a=b-bx$$

Ikkombina t-termini kollha li fihom a.

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

Iddividi ż-żewġ naħat b'x^{2}-1.

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

Meta tiddividi b'x^{2}-1 titneħħa l-multiplikazzjoni b'x^{2}-1.

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

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

$$a=-\frac{b}{x+1}$$

Solvi għal b (complex solution)

$$\left\{\begin{matrix}\\b=-a\left(x+1\right)\text{, }&\text{unconditionally}\\b\in \mathrm{C}\text{, }&x=1\end{matrix}\right.$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Ibdel in-naħat sabiex it-termini varjabbli kollha jkunu fuq in-naħa tax-xellug.

$$a+b-bx=ax^{2}$$

Naqqas a miż-żewġ naħat.

$$b-bx=ax^{2}-a$$

Ikkombina t-termini kollha li fihom b.

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

Iddividi ż-żewġ naħat b'1-x.

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

Meta tiddividi b'1-x titneħħa l-multiplikazzjoni b'1-x.

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

Iddividi a\left(x^{2}-1\right) b'1-x.

$$b=-a\left(x+1\right)$$

Solvi għal a

$$\left\{\begin{matrix}a=-\frac{b}{x+1}\text{, }&x\neq -1\\a\in \mathrm{R}\text{, }&x=1\text{ or }\left(b=0\text{ and }x=-1\right)\end{matrix}\right.$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Naqqas a miż-żewġ naħat.

$$ax^{2}-a=b-bx$$

Ikkombina t-termini kollha li fihom a.

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

Iddividi ż-żewġ naħat b'x^{2}-1.

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

Meta tiddividi b'x^{2}-1 titneħħa l-multiplikazzjoni b'x^{2}-1.

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

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

$$a=-\frac{b}{x+1}$$

Solvi għal b

$$\left\{\begin{matrix}\\b=-a\left(x+1\right)\text{, }&\text{unconditionally}\\b\in \mathrm{R}\text{, }&x=1\end{matrix}\right.$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Ibdel in-naħat sabiex it-termini varjabbli kollha jkunu fuq in-naħa tax-xellug.

$$a+b-bx=ax^{2}$$

Naqqas a miż-żewġ naħat.

$$b-bx=ax^{2}-a$$

Ikkombina t-termini kollha li fihom b.

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

Iddividi ż-żewġ naħat b'1-x.

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

Meta tiddividi b'1-x titneħħa l-multiplikazzjoni b'1-x.

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

Iddividi a\left(x^{2}-1\right) b'1-x.

$$b=-a\left(x+1\right)$$