7sqrt{2}-x+1/18=sqrt{18} eching

$$7 \sqrt { 2 } - \frac { x + 1 } { 18 } = \sqrt { 18 }$$

x uchun yechish

$$x=72\sqrt{2}-1\approx 100,823376491$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini 18 ga ko'paytirish.

$$126\sqrt{2}-\left(x+1\right)=18\sqrt{18}$$

x+1 teskarisini topish uchun har birining teskarisini toping.

$$126\sqrt{2}-x-1=18\sqrt{18}$$

Faktor: 18=3^{2}\times 2. \sqrt{3^{2}\times 2} koʻpaytmasining kvadrat ildizini \sqrt{3^{2}}\sqrt{2} kvadrat ildizlarining koʻpaytmasi sifatida qayta yozing. 3^{2} ning kvadrat ildizini chiqarish.

$$126\sqrt{2}-x-1=18\times 3\sqrt{2}$$

54 hosil qilish uchun 18 va 3 ni ko'paytirish.

$$126\sqrt{2}-x-1=54\sqrt{2}$$

Ikkala tarafdan 126\sqrt{2} ni ayirish.

$$-x-1=54\sqrt{2}-126\sqrt{2}$$

-72\sqrt{2} ni olish uchun 54\sqrt{2} va -126\sqrt{2} ni birlashtirish.

$$-x-1=-72\sqrt{2}$$

1 ni ikki tarafga qo’shing.

$$-x=-72\sqrt{2}+1$$

Tenglama standart shaklda.

$$-x=1-72\sqrt{2}$$

Ikki tarafini -1 ga bo‘ling.

$$\frac{-x}{-1}=\frac{1-72\sqrt{2}}{-1}$$

-1 ga bo'lish -1 ga ko'paytirishni bekor qiladi.

$$x=\frac{1-72\sqrt{2}}{-1}$$

-72\sqrt{2}+1 ni -1 ga bo'lish.

$$x=72\sqrt{2}-1$$