Issolvi 3+1.2=1/2*9.8r^2

$$3 + 1.2 = \frac { 1 } { 2 } \times 9.8 r ^ { 2 }$$

Solvi għal r

$$r=\frac{\sqrt{42}}{7}\approx 0.9258201$$

$$r=-\frac{\sqrt{42}}{7}\approx -0.9258201$$

Passi billi Ssib l-Għerq Kwadrat

Żid 3 u 1.2 biex tikseb 4.2.

$$4.2=\frac{1}{2}\times 9.8r^{2}$$

Immultiplika \frac{1}{2} u 9.8 biex tikseb \frac{49}{10}.

$$4.2=\frac{49}{10}r^{2}$$

Ibdel in-naħat sabiex it-termini varjabbli kollha jkunu fuq in-naħa tax-xellug.

$$\frac{49}{10}r^{2}=4.2$$

Immultiplika ż-żewġ naħat b'\frac{10}{49}, ir-reċiproku ta' \frac{49}{10}.

$$r^{2}=4.2\times \frac{10}{49}$$

Immultiplika 4.2 u \frac{10}{49} biex tikseb \frac{6}{7}.

$$r^{2}=\frac{6}{7}$$

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

$$r=\frac{\sqrt{42}}{7} r=-\frac{\sqrt{42}}{7}$$

Passi għall-Użu tal-Formula Kwadratika

Żid 3 u 1.2 biex tikseb 4.2.

$$4.2=\frac{1}{2}\times 9.8r^{2}$$

Immultiplika \frac{1}{2} u 9.8 biex tikseb \frac{49}{10}.

$$4.2=\frac{49}{10}r^{2}$$

Ibdel in-naħat sabiex it-termini varjabbli kollha jkunu fuq in-naħa tax-xellug.

$$\frac{49}{10}r^{2}=4.2$$

Naqqas 4.2 miż-żewġ naħat.

$$\frac{49}{10}r^{2}-4.2=0$$

Din l-ekwazzjoni hija fil-forma standard: ax^{2}+bx+c=0. Issostitwixxi \frac{49}{10} għal a, 0 għal b, u -4.2 għal c fil-formula kwadratika, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$r=\frac{0±\sqrt{0^{2}-4\times \frac{49}{10}\left(-4.2\right)}}{2\times \frac{49}{10}}$$

Ikkwadra 0.

$$r=\frac{0±\sqrt{-4\times \frac{49}{10}\left(-4.2\right)}}{2\times \frac{49}{10}}$$

Immultiplika -4 b'\frac{49}{10}.

$$r=\frac{0±\sqrt{-\frac{98}{5}\left(-4.2\right)}}{2\times \frac{49}{10}}$$

Immultiplika -\frac{98}{5} b'-4.2 billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur. Imbagħad naqqas il-frazzjoni għall-inqas termini jekk possibbli.

$$r=\frac{0±\sqrt{\frac{2058}{25}}}{2\times \frac{49}{10}}$$

Ħu l-għerq kwadrat ta' \frac{2058}{25}.

$$r=\frac{0±\frac{7\sqrt{42}}{5}}{2\times \frac{49}{10}}$$

Immultiplika 2 b'\frac{49}{10}.

$$r=\frac{0±\frac{7\sqrt{42}}{5}}{\frac{49}{5}}$$

Issa solvi l-ekwazzjoni r=\frac{0±\frac{7\sqrt{42}}{5}}{\frac{49}{5}} fejn ± hija plus.

$$r=\frac{\sqrt{42}}{7}$$

Issa solvi l-ekwazzjoni r=\frac{0±\frac{7\sqrt{42}}{5}}{\frac{49}{5}} fejn ± hija minus.

$$r=-\frac{\sqrt{42}}{7}$$

L-ekwazzjoni issa solvuta.

$$r=\frac{\sqrt{42}}{7} r=-\frac{\sqrt{42}}{7}$$