Issolvi 5(x+1.5)^2-7=0

$$5 ( x + 1.5 ) ^ { 2 } - 7 = 0$$

Solvi għal x

$$x=\frac{\sqrt{35}}{5}-1.5\approx -0.316784043$$

$$x=-\frac{\sqrt{35}}{5}-1.5\approx -2.683215957$$

Passi billi Ssib l-Għerq Kwadrat

Żid 7 maż-żewġ naħat tal-ekwazzjoni.

$$5\left(x+1.5\right)^{2}-7+7=7$$

Jekk tnaqqas 7 minnu nnifsu jibqa' 0.

$$5\left(x+1.5\right)^{2}=7$$

Iddividi ż-żewġ naħat b'5.

$$\frac{5\left(x+1.5\right)^{2}}{5}=\frac{7}{5}$$

Meta tiddividi b'5 titneħħa l-multiplikazzjoni b'5.

$$\left(x+1.5\right)^{2}=\frac{7}{5}$$

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

$$x+1.5=\frac{\sqrt{35}}{5} x+1.5=-\frac{\sqrt{35}}{5}$$

Naqqas 1.5 miż-żewġ naħat tal-ekwazzjoni.

$$x+1.5-1.5=\frac{\sqrt{35}}{5}-1.5 x+1.5-1.5=-\frac{\sqrt{35}}{5}-1.5$$

Jekk tnaqqas 1.5 minnu nnifsu jibqa' 0.

$$x=\frac{\sqrt{35}}{5}-1.5 x=-\frac{\sqrt{35}}{5}-1.5$$

Naqqas 1.5 minn \frac{\sqrt{35}}{5}.

$$x=\frac{\sqrt{35}}{5}-\frac{3}{2}$$

Naqqas 1.5 minn -\frac{\sqrt{35}}{5}.

$$x=-\frac{\sqrt{35}}{5}-\frac{3}{2}$$

L-ekwazzjoni issa solvuta.

$$x=\frac{\sqrt{35}}{5}-\frac{3}{2} x=-\frac{\sqrt{35}}{5}-\frac{3}{2}$$