Issolvi x^2-2(m-1)x+2m+1=0

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

Solvi għal m

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

$$x\neq 1$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Naqqas 1 miż-żewġ naħat. Xi ħaġa mnaqqsa minn żero tagħti numru negattiv.

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

Uża l-propjetà distributtiva biex timmultiplika -2 b'm-1.

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

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

$$x^{2}-2mx+2x+2m=-1$$

Naqqas x^{2} miż-żewġ naħat.

$$-2mx+2x+2m=-1-x^{2}$$

Naqqas 2x miż-żewġ naħat.

$$-2mx+2m=-1-x^{2}-2x$$

Ikkombina t-termini kollha li fihom m.

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

L-ekwazzjoni hija f'forma standard.

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

Iddividi ż-żewġ naħat b'-2x+2.

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

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

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

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

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

Solvi għal x (complex solution)

$$x=\sqrt{m\left(m-4\right)}+m-1$$

$$x=-\sqrt{m\left(m-4\right)}+m-1$$

Solvi għal x

$$x=\sqrt{m\left(m-4\right)}+m-1$$

$$x=-\sqrt{m\left(m-4\right)}+m-1\text{, }m\geq 4\text{ or }m\leq 0$$