Issolvi left(t-4right)^2=left(t+4right)^2+32

$${ \left(t-4 \right) }^{ 2 } = { \left(t+4 \right) }^{ 2 } +32$$

Solvi għal t

$$t=-2$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Uża teorema binomjali \left(a-b\right)^{2}=a^{2}-2ab+b^{2} biex tespandi \left(t-4\right)^{2}.

$$t^{2}-8t+16=\left(t+4\right)^{2}+32$$

Uża teorema binomjali \left(a+b\right)^{2}=a^{2}+2ab+b^{2} biex tespandi \left(t+4\right)^{2}.

$$t^{2}-8t+16=t^{2}+8t+16+32$$

Żid 16 u 32 biex tikseb 48.

$$t^{2}-8t+16=t^{2}+8t+48$$

Naqqas t^{2} miż-żewġ naħat.

$$t^{2}-8t+16-t^{2}=8t+48$$

Ikkombina t^{2} u -t^{2} biex tikseb 0.

$$-8t+16=8t+48$$

Naqqas 8t miż-żewġ naħat.

$$-8t+16-8t=48$$

Ikkombina -8t u -8t biex tikseb -16t.

$$-16t+16=48$$

Naqqas 16 miż-żewġ naħat.

$$-16t=48-16$$

Naqqas 16 minn 48 biex tikseb 32.

$$-16t=32$$

Iddividi ż-żewġ naħat b'-16.

$$t=\frac{32}{-16}$$

Iddividi 32 b'-16 biex tikseb-2.

$$t=-2$$