Issolvi (x-10)(x-1)--(x+1)(x-y)=6

$$(x-10)(x-1)--(x+1)(x-y)=6$$

Solvi għal y

$$y=\frac{2\left(x^{2}-5x+2\right)}{x+1}$$

$$x\neq -1$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Uża l-propjetà distributtiva biex timmultiplika x-10 b'x-1 u kkombina termini simili.

$$x^{2}-11x+10-\left(-\left(x+1\right)\right)\left(x-y\right)=6$$

Biex issib l-oppost ta' x+1, sib l-oppost ta' kull terminu.

$$x^{2}-11x+10-\left(-x-1\right)\left(x-y\right)=6$$

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

$$x^{2}-11x+10-\left(-x^{2}+xy-x+y\right)=6$$

Biex issib l-oppost ta' -x^{2}+xy-x+y, sib l-oppost ta' kull terminu.

$$x^{2}-11x+10+x^{2}-xy+x-y=6$$

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

$$2x^{2}-11x+10-xy+x-y=6$$

Ikkombina -11x u x biex tikseb -10x.

$$2x^{2}-10x+10-xy-y=6$$

Naqqas 2x^{2} miż-żewġ naħat.

$$-10x+10-xy-y=6-2x^{2}$$

Żid 10x maż-żewġ naħat.

$$10-xy-y=6-2x^{2}+10x$$

Naqqas 10 miż-żewġ naħat.

$$-xy-y=6-2x^{2}+10x-10$$

Naqqas 10 minn 6 biex tikseb -4.

$$-xy-y=-4-2x^{2}+10x$$

Ikkombina t-termini kollha li fihom y.

$$\left(-x-1\right)y=-4-2x^{2}+10x$$

L-ekwazzjoni hija f'forma standard.

$$\left(-x-1\right)y=-2x^{2}+10x-4$$

Iddividi ż-żewġ naħat b'-x-1.

$$\frac{\left(-x-1\right)y}{-x-1}=\frac{-2x^{2}+10x-4}{-x-1}$$

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

$$y=\frac{-2x^{2}+10x-4}{-x-1}$$

Iddividi -4-2x^{2}+10x b'-x-1.

$$y=-\frac{2\left(-x^{2}+5x-2\right)}{x+1}$$

Solvi għal x (complex solution)

$$x=\frac{\sqrt{y^{2}+28y+68}+y+10}{4}$$

$$x=\frac{-\sqrt{y^{2}+28y+68}+y+10}{4}$$

Solvi għal x

$$x=\frac{\sqrt{y^{2}+28y+68}+y+10}{4}$$

$$x=\frac{-\sqrt{y^{2}+28y+68}+y+10}{4}\text{, }y\geq 8\sqrt{2}-14\text{ or }y\leq -8\sqrt{2}-14$$