Issolvi x+1-4/x+1=x-1

$$x + 1 - \frac { 4 } { x + 1 } = x - 1$$

Solvi għal x

$$x=1$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Il-varjabbli x ma jistax ikun ugwali għal -1 billi d-diviżjoni b'żero mhux iddefinit. Immultiplika ż-żewġ naħat tal-ekwazzjoni b'x+1.

$$\left(x+1\right)x+x+1-4=\left(x+1\right)x+\left(x+1\right)\left(-1\right)$$

Uża l-propjetà distributtiva biex timmultiplika x+1 b'x.

$$x^{2}+x+x+1-4=\left(x+1\right)x+\left(x+1\right)\left(-1\right)$$

Ikkombina x u x biex tikseb 2x.

$$x^{2}+2x+1-4=\left(x+1\right)x+\left(x+1\right)\left(-1\right)$$

Naqqas 4 minn 1 biex tikseb -3.

$$x^{2}+2x-3=\left(x+1\right)x+\left(x+1\right)\left(-1\right)$$

Uża l-propjetà distributtiva biex timmultiplika x+1 b'x.

$$x^{2}+2x-3=x^{2}+x+\left(x+1\right)\left(-1\right)$$

Uża l-propjetà distributtiva biex timmultiplika x+1 b'-1.

$$x^{2}+2x-3=x^{2}+x-x-1$$

Ikkombina x u -x biex tikseb 0.

$$x^{2}+2x-3=x^{2}-1$$

Naqqas x^{2} miż-żewġ naħat.

$$x^{2}+2x-3-x^{2}=-1$$

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

$$2x-3=-1$$

Żid 3 maż-żewġ naħat.

$$2x=-1+3$$

Żid -1 u 3 biex tikseb 2.

$$2x=2$$

Iddividi ż-żewġ naħat b'2.

$$x=\frac{2}{2}$$

Iddividi 2 b'2 biex tikseb1.

$$x=1$$