sqrt{m+1}+(n-3)^2=0 eching

$$\sqrt { m + 1 } + ( n - 3 ) ^ { 2 } = 0$$

m uchun yechish

$$m=-1$$

$$n=3$$

Ildizli tenglamalarni yechish qadamlari

Tenglamaning ikkala tarafidan \left(n-3\right)^{2} ni ayirish.

$$\sqrt{m+1}+\left(n-3\right)^{2}-\left(n-3\right)^{2}=-\left(n-3\right)^{2}$$

O‘zidan \left(n-3\right)^{2} ayirilsa 0 qoladi.

$$\sqrt{m+1}=-\left(n-3\right)^{2}$$

Tenglamaning ikkala taraf kvadratini chiqarish.

$$m+1=\left(n-3\right)^{4}$$

Tenglamaning ikkala tarafidan 1 ni ayirish.

$$m+1-1=\left(n-3\right)^{4}-1$$

O‘zidan 1 ayirilsa 0 qoladi.

$$m=\left(n-3\right)^{4}-1$$

\left(n-3\right)^{4} dan 1 ni ayirish.

$$m=\left(n-4\right)\left(n-2\right)\left(\left(n-3\right)^{2}+1\right)$$

n uchun yechish

$$n=3$$

$$m=-1$$