Issolvi 4x^2-2yx+25=left(2x-5right)^2

$$4 { x }^{ 2 } -2yx+25= { \left(2x-5 \right) }^{ 2 }$$

Solvi għal x (complex solution)

$$\left\{\begin{matrix}\\x=0\text{, }&\text{unconditionally}\\x\in \mathrm{C}\text{, }&y=10\end{matrix}\right.$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Uża teorema binomjali \left(a-b\right)^{2}=a^{2}-2ab+b^{2} biex tespandi \left(2x-5\right)^{2}.

$$4x^{2}-2yx+25=4x^{2}-20x+25$$

Naqqas 4x^{2} miż-żewġ naħat.

$$4x^{2}-2yx+25-4x^{2}=-20x+25$$

Ikkombina 4x^{2} u -4x^{2} biex tikseb 0.

$$-2yx+25=-20x+25$$

Żid 20x maż-żewġ naħat.

$$-2yx+25+20x=25$$

Naqqas 25 miż-żewġ naħat.

$$-2yx+20x=25-25$$

Naqqas 25 minn 25 biex tikseb 0.

$$-2yx+20x=0$$

Ikkombina t-termini kollha li fihom x.

$$\left(-2y+20\right)x=0$$

L-ekwazzjoni hija f'forma standard.

$$\left(20-2y\right)x=0$$

Iddividi 0 b'-2y+20.

$$x=0$$

Solvi għal y (complex solution)

$$\left\{\begin{matrix}\\y=10\text{, }&\text{unconditionally}\\y\in \mathrm{C}\text{, }&x=0\end{matrix}\right.$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Uża teorema binomjali \left(a-b\right)^{2}=a^{2}-2ab+b^{2} biex tespandi \left(2x-5\right)^{2}.

$$4x^{2}-2yx+25=4x^{2}-20x+25$$

Naqqas 4x^{2} miż-żewġ naħat.

$$-2yx+25=4x^{2}-20x+25-4x^{2}$$

Ikkombina 4x^{2} u -4x^{2} biex tikseb 0.

$$-2yx+25=-20x+25$$

Naqqas 25 miż-żewġ naħat.

$$-2yx=-20x+25-25$$

Naqqas 25 minn 25 biex tikseb 0.

$$-2yx=-20x$$

L-ekwazzjoni hija f'forma standard.

$$\left(-2x\right)y=-20x$$

Iddividi ż-żewġ naħat b'-2x.

$$\frac{\left(-2x\right)y}{-2x}=-\frac{20x}{-2x}$$

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

$$y=-\frac{20x}{-2x}$$

Iddividi -20x b'-2x.

$$y=10$$

Solvi għal x

$$\left\{\begin{matrix}\\x=0\text{, }&\text{unconditionally}\\x\in \mathrm{R}\text{, }&y=10\end{matrix}\right.$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Uża teorema binomjali \left(a-b\right)^{2}=a^{2}-2ab+b^{2} biex tespandi \left(2x-5\right)^{2}.

$$4x^{2}-2yx+25=4x^{2}-20x+25$$

Naqqas 4x^{2} miż-żewġ naħat.

$$4x^{2}-2yx+25-4x^{2}=-20x+25$$

Ikkombina 4x^{2} u -4x^{2} biex tikseb 0.

$$-2yx+25=-20x+25$$

Żid 20x maż-żewġ naħat.

$$-2yx+25+20x=25$$

Naqqas 25 miż-żewġ naħat.

$$-2yx+20x=25-25$$

Naqqas 25 minn 25 biex tikseb 0.

$$-2yx+20x=0$$

Ikkombina t-termini kollha li fihom x.

$$\left(-2y+20\right)x=0$$

L-ekwazzjoni hija f'forma standard.

$$\left(20-2y\right)x=0$$

Iddividi 0 b'-2y+20.

$$x=0$$

Solvi għal y

$$\left\{\begin{matrix}\\y=10\text{, }&\text{unconditionally}\\y\in \mathrm{R}\text{, }&x=0\end{matrix}\right.$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Uża teorema binomjali \left(a-b\right)^{2}=a^{2}-2ab+b^{2} biex tespandi \left(2x-5\right)^{2}.

$$4x^{2}-2yx+25=4x^{2}-20x+25$$

Naqqas 4x^{2} miż-żewġ naħat.

$$-2yx+25=4x^{2}-20x+25-4x^{2}$$

Ikkombina 4x^{2} u -4x^{2} biex tikseb 0.

$$-2yx+25=-20x+25$$

Naqqas 25 miż-żewġ naħat.

$$-2yx=-20x+25-25$$

Naqqas 25 minn 25 biex tikseb 0.

$$-2yx=-20x$$

L-ekwazzjoni hija f'forma standard.

$$\left(-2x\right)y=-20x$$

Iddividi ż-żewġ naħat b'-2x.

$$\frac{\left(-2x\right)y}{-2x}=-\frac{20x}{-2x}$$

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

$$y=-\frac{20x}{-2x}$$

Iddividi -20x b'-2x.

$$y=10$$