Whakaoti i te t=290-300/50/sqrt{15}

$$t = \frac { 290 - 300 } { 50 / \sqrt { 15 } }$$

Whakaoti mō t

$$t=-\frac{\sqrt{15}}{5}\approx -0.774596669$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tangohia te 300 i te 290, ka -10.

$$t=\frac{-10}{\frac{50}{\sqrt{15}}}$$

Whakangāwaritia te tauraro o \frac{50}{\sqrt{15}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{15}.

$$t=\frac{-10}{\frac{50\sqrt{15}}{\left(\sqrt{15}\right)^{2}}}$$

Ko te pūrua o \sqrt{15} ko 15.

$$t=\frac{-10}{\frac{50\sqrt{15}}{15}}$$

Whakawehea te 50\sqrt{15} ki te 15, kia riro ko \frac{10}{3}\sqrt{15}.

$$t=\frac{-10}{\frac{10}{3}\sqrt{15}}$$

Whakangāwaritia te tauraro o \frac{-10}{\frac{10}{3}\sqrt{15}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{15}.

$$t=\frac{-10\sqrt{15}}{\frac{10}{3}\left(\sqrt{15}\right)^{2}}$$

Ko te pūrua o \sqrt{15} ko 15.

$$t=\frac{-10\sqrt{15}}{\frac{10}{3}\times 15}$$

Me whakakore tahi te 5 i te taurunga me te tauraro.

$$t=\frac{-2\sqrt{15}}{3\times \frac{10}{3}}$$

Me whakakore te 3 me te 3.

$$t=\frac{-2\sqrt{15}}{10}$$

Whakawehea te -2\sqrt{15} ki te 10, kia riro ko -\frac{1}{5}\sqrt{15}.

$$t=-\frac{1}{5}\sqrt{15}$$

Tautapa t

$$t≔-\frac{\sqrt{15}}{5}$$