(frac{1+sqrt{385}}{3}-5)^2+75 eching

$$( \frac { 1 + \sqrt { 385 } } { 3 } - 5 ) ^ { 2 } + 75$$

Baholash

$$\frac{1256-28\sqrt{385}}{9}\approx 78,511147514$$

Qisqa yechim qadamlari

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 5 ni \frac{3}{3} marotabaga ko'paytirish.

$$\left(\frac{1+\sqrt{385}}{3}-\frac{5\times 3}{3}\right)^{2}+75$$

\frac{1+\sqrt{385}}{3} va \frac{5\times 3}{3} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\left(\frac{1+\sqrt{385}-5\times 3}{3}\right)^{2}+75$$

1+\sqrt{385}-5\times 3 ichidagi ko‘paytirishlarni bajaring.

$$\left(\frac{1+\sqrt{385}-15}{3}\right)^{2}+75$$

1+\sqrt{385}-15 hisob-kitobini qiling.

$$\left(\frac{-14+\sqrt{385}}{3}\right)^{2}+75$$

\frac{-14+\sqrt{385}}{3}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.

$$\frac{\left(-14+\sqrt{385}\right)^{2}}{3^{2}}+75$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 75 ni \frac{3^{2}}{3^{2}} marotabaga ko'paytirish.

$$\frac{\left(-14+\sqrt{385}\right)^{2}}{3^{2}}+\frac{75\times 3^{2}}{3^{2}}$$

\frac{\left(-14+\sqrt{385}\right)^{2}}{3^{2}} va \frac{75\times 3^{2}}{3^{2}} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\left(-14+\sqrt{385}\right)^{2}+75\times 3^{2}}{3^{2}}$$

\left(-14+\sqrt{385}\right)^{2}+75\times 3^{2} ichidagi ko‘paytirishlarni bajaring.

$$\frac{196-28\sqrt{385}+\left(\sqrt{385}\right)^{2}+675}{3^{2}}$$

196-28\sqrt{385}+\left(\sqrt{385}\right)^{2}+675 hisob-kitobini qiling.

$$\frac{1256-28\sqrt{385}}{3^{2}}$$

3^{2} ni kengaytirish.

$$\frac{1256-28\sqrt{385}}{9}$$

Kengaytirish

$$\frac{1256 - 28 \sqrt{385}}{9} = 78,51114751447108$$

Qisqa yechim qadamlari

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 5 ni \frac{3}{3} marotabaga ko'paytirish.

$$\left(\frac{1+\sqrt{385}}{3}-\frac{5\times 3}{3}\right)^{2}+75$$

\frac{1+\sqrt{385}}{3} va \frac{5\times 3}{3} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\left(\frac{1+\sqrt{385}-5\times 3}{3}\right)^{2}+75$$

1+\sqrt{385}-5\times 3 ichidagi ko‘paytirishlarni bajaring.

$$\left(\frac{1+\sqrt{385}-15}{3}\right)^{2}+75$$

1+\sqrt{385}-15 hisob-kitobini qiling.

$$\left(\frac{-14+\sqrt{385}}{3}\right)^{2}+75$$

\frac{-14+\sqrt{385}}{3}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.

$$\frac{\left(-14+\sqrt{385}\right)^{2}}{3^{2}}+75$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 75 ni \frac{3^{2}}{3^{2}} marotabaga ko'paytirish.

$$\frac{\left(-14+\sqrt{385}\right)^{2}}{3^{2}}+\frac{75\times 3^{2}}{3^{2}}$$

\frac{\left(-14+\sqrt{385}\right)^{2}}{3^{2}} va \frac{75\times 3^{2}}{3^{2}} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\left(-14+\sqrt{385}\right)^{2}+75\times 3^{2}}{3^{2}}$$

\left(-14+\sqrt{385}\right)^{2}+75\times 3^{2} ichidagi ko‘paytirishlarni bajaring.

$$\frac{196-28\sqrt{385}+\left(\sqrt{385}\right)^{2}+675}{3^{2}}$$

196-28\sqrt{385}+\left(\sqrt{385}\right)^{2}+675 hisob-kitobini qiling.

$$\frac{1256-28\sqrt{385}}{3^{2}}$$

3^{2} ni kengaytirish.

$$\frac{1256-28\sqrt{385}}{9}$$