Issolvi (6x-5)^2=50

$$( 6 x - 5 ) ^ { 2 } = 50$$

Solvi għal x

$$x = \frac{5 \sqrt{2} + 5}{6} \approx 2.011844635$$

$$x=\frac{5-5\sqrt{2}}{6}\approx -0.345177969$$

Passi billi Ssib l-Għerq Kwadrat

Ħu l-għerq kwadrat taż-żewġ naħat tal-ekwazzjoni.

$$6x-5=5\sqrt{2} 6x-5=-5\sqrt{2}$$

Żid 5 maż-żewġ naħat tal-ekwazzjoni.

$$6x-5-\left(-5\right)=5\sqrt{2}-\left(-5\right) 6x-5-\left(-5\right)=-5\sqrt{2}-\left(-5\right)$$

Jekk tnaqqas -5 minnu nnifsu jibqa' 0.

$$6x=5\sqrt{2}-\left(-5\right) 6x=-5\sqrt{2}-\left(-5\right)$$

Naqqas -5 minn 5\sqrt{2}.

$$6x=5\sqrt{2}+5$$

Naqqas -5 minn -5\sqrt{2}.

$$6x=5-5\sqrt{2}$$

Iddividi ż-żewġ naħat b'6.

$$\frac{6x}{6}=\frac{5\sqrt{2}+5}{6} \frac{6x}{6}=\frac{5-5\sqrt{2}}{6}$$

Meta tiddividi b'6 titneħħa l-multiplikazzjoni b'6.

$$x=\frac{5\sqrt{2}+5}{6} x=\frac{5-5\sqrt{2}}{6}$$