Whakaoti i te y=-4/3*2525sqrt{2525}+9*2525+7

$$y= \frac{ -4 }{ 3 } \times 2525 \sqrt{ 2525 } +9 \times 2525+7$$

Whakaoti mō y

$$y=-\frac{50500\sqrt{101}}{3}+22732\approx -146440.906288868$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Ka taea te hautanga \frac{-4}{3} te tuhi anō ko -\frac{4}{3} mā te tango i te tohu tōraro.

$$y=2525\left(-\frac{4}{3}\right)\sqrt{2525}+9\times 2525+7$$

Tuhia te 2525\left(-\frac{4}{3}\right) hei hautanga kotahi.

$$y=\frac{2525\left(-4\right)}{3}\sqrt{2525}+9\times 2525+7$$

Whakareatia te 2525 ki te -4, ka -10100.

$$y=\frac{-10100}{3}\sqrt{2525}+9\times 2525+7$$

Ka taea te hautanga \frac{-10100}{3} te tuhi anō ko -\frac{10100}{3} mā te tango i te tohu tōraro.

$$y=-\frac{10100}{3}\sqrt{2525}+9\times 2525+7$$

Tauwehea te 2525=5^{2}\times 101. Tuhia anō te pūtake rua o te hua \sqrt{5^{2}\times 101} hei hua o ngā pūtake rua \sqrt{5^{2}}\sqrt{101}. Tuhia te pūtakerua o te 5^{2}.

$$y=-\frac{10100}{3}\times 5\sqrt{101}+9\times 2525+7$$

Tuhia te -\frac{10100}{3}\times 5 hei hautanga kotahi.

$$y=\frac{-10100\times 5}{3}\sqrt{101}+9\times 2525+7$$

Whakareatia te -10100 ki te 5, ka -50500.

$$y=\frac{-50500}{3}\sqrt{101}+9\times 2525+7$$

Ka taea te hautanga \frac{-50500}{3} te tuhi anō ko -\frac{50500}{3} mā te tango i te tohu tōraro.

$$y=-\frac{50500}{3}\sqrt{101}+9\times 2525+7$$

Whakareatia te 9 ki te 2525, ka 22725.

$$y=-\frac{50500}{3}\sqrt{101}+22725+7$$

Tāpirihia te 22725 ki te 7, ka 22732.

$$y=-\frac{50500}{3}\sqrt{101}+22732$$

Tautapa y

$$y≔-\frac{50500\sqrt{101}}{3}+22732$$