Issolvi a^2+b^2=(a+b)(a+b)

$$a ^ { 2 } + b ^ { 2 } = ( a + b ) ( a + b )$$

Solvi għal a (complex solution)

$$\left\{\begin{matrix}\\a=0\text{, }&\text{unconditionally}\\a\in \mathrm{C}\text{, }&b=0\end{matrix}\right.$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Immultiplika a+b u a+b biex tikseb \left(a+b\right)^{2}.

$$a^{2}+b^{2}=\left(a+b\right)^{2}$$

Uża teorema binomjali \left(p+q\right)^{2}=p^{2}+2pq+q^{2} biex tespandi \left(a+b\right)^{2}.

$$a^{2}+b^{2}=a^{2}+2ab+b^{2}$$

Naqqas a^{2} miż-żewġ naħat.

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

Ikkombina a^{2} u -a^{2} biex tikseb 0.

$$b^{2}=2ab+b^{2}$$

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

$$2ab+b^{2}=b^{2}$$

Naqqas b^{2} miż-żewġ naħat.

$$2ab=b^{2}-b^{2}$$

Ikkombina b^{2} u -b^{2} biex tikseb 0.

$$2ab=0$$

L-ekwazzjoni hija f'forma standard.

$$2ba=0$$

Iddividi 0 b'2b.

$$a=0$$

Solvi għal b (complex solution)

$$\left\{\begin{matrix}\\b=0\text{, }&\text{unconditionally}\\b\in \mathrm{C}\text{, }&a=0\end{matrix}\right.$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Immultiplika a+b u a+b biex tikseb \left(a+b\right)^{2}.

$$a^{2}+b^{2}=\left(a+b\right)^{2}$$

Uża teorema binomjali \left(p+q\right)^{2}=p^{2}+2pq+q^{2} biex tespandi \left(a+b\right)^{2}.

$$a^{2}+b^{2}=a^{2}+2ab+b^{2}$$

Naqqas 2ab miż-żewġ naħat.

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

Naqqas b^{2} miż-żewġ naħat.

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

Ikkombina b^{2} u -b^{2} biex tikseb 0.

$$a^{2}-2ab=a^{2}$$

Naqqas a^{2} miż-żewġ naħat.

$$-2ab=a^{2}-a^{2}$$

Ikkombina a^{2} u -a^{2} biex tikseb 0.

$$-2ab=0$$

L-ekwazzjoni hija f'forma standard.

$$\left(-2a\right)b=0$$

Iddividi 0 b'-2a.

$$b=0$$

Solvi għal a

$$\left\{\begin{matrix}\\a=0\text{, }&\text{unconditionally}\\a\in \mathrm{R}\text{, }&b=0\end{matrix}\right.$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Immultiplika a+b u a+b biex tikseb \left(a+b\right)^{2}.

$$a^{2}+b^{2}=\left(a+b\right)^{2}$$

Uża teorema binomjali \left(p+q\right)^{2}=p^{2}+2pq+q^{2} biex tespandi \left(a+b\right)^{2}.

$$a^{2}+b^{2}=a^{2}+2ab+b^{2}$$

Naqqas a^{2} miż-żewġ naħat.

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

Ikkombina a^{2} u -a^{2} biex tikseb 0.

$$b^{2}=2ab+b^{2}$$

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

$$2ab+b^{2}=b^{2}$$

Naqqas b^{2} miż-żewġ naħat.

$$2ab=b^{2}-b^{2}$$

Ikkombina b^{2} u -b^{2} biex tikseb 0.

$$2ab=0$$

L-ekwazzjoni hija f'forma standard.

$$2ba=0$$

Iddividi 0 b'2b.

$$a=0$$

Solvi għal b

$$\left\{\begin{matrix}\\b=0\text{, }&\text{unconditionally}\\b\in \mathrm{R}\text{, }&a=0\end{matrix}\right.$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Immultiplika a+b u a+b biex tikseb \left(a+b\right)^{2}.

$$a^{2}+b^{2}=\left(a+b\right)^{2}$$

Uża teorema binomjali \left(p+q\right)^{2}=p^{2}+2pq+q^{2} biex tespandi \left(a+b\right)^{2}.

$$a^{2}+b^{2}=a^{2}+2ab+b^{2}$$

Naqqas 2ab miż-żewġ naħat.

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

Naqqas b^{2} miż-żewġ naħat.

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

Ikkombina b^{2} u -b^{2} biex tikseb 0.

$$a^{2}-2ab=a^{2}$$

Naqqas a^{2} miż-żewġ naħat.

$$-2ab=a^{2}-a^{2}$$

Ikkombina a^{2} u -a^{2} biex tikseb 0.

$$-2ab=0$$

L-ekwazzjoni hija f'forma standard.

$$\left(-2a\right)b=0$$

Iddividi 0 b'-2a.

$$b=0$$