xsqrt{40}+3cos(4)=70 eching

$$x \sqrt { 40 } + 3 \cos ( 4 ) = 70$$

x uchun yechish

$$x = \frac{335036539246102637 \sqrt{10}}{100000000000000000} = 10\frac{59478563398076930}{1 \times 10^{17}} \approx 10,594785634$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Evaluate trigonometric functions in the problem

$$x \sqrt{40} + 3 \cdot 0,9975640502598242 = 70$$

Faktor: 40=2^{2}\times 10. \sqrt{2^{2}\times 10} koʻpaytmasining kvadrat ildizini \sqrt{2^{2}}\sqrt{10} kvadrat ildizlarining koʻpaytmasi sifatida qayta yozing. 2^{2} ning kvadrat ildizini chiqarish.

$$x\times 2\sqrt{10}+3\times 0,9975640502598242=70$$

2,9926921507794726 hosil qilish uchun 3 va 0,9975640502598242 ni ko'paytirish.

$$x\times 2\sqrt{10}+2,9926921507794726=70$$

Ikkala tarafdan 2,9926921507794726 ni ayirish.

$$x\times 2\sqrt{10}=70-2,9926921507794726$$

67,0073078492205274 olish uchun 70 dan 2,9926921507794726 ni ayirish.

$$x\times 2\sqrt{10}=67,0073078492205274$$

Tenglama standart shaklda.

$$2\sqrt{10}x=67,0073078492205274$$

Ikki tarafini 2\sqrt{10} ga bo‘ling.

$$\frac{2\sqrt{10}x}{2\sqrt{10}}=\frac{67,0073078492205274}{2\sqrt{10}}$$

2\sqrt{10} ga bo'lish 2\sqrt{10} ga ko'paytirishni bekor qiladi.

$$x=\frac{67,0073078492205274}{2\sqrt{10}}$$

67,0073078492205274 ni 2\sqrt{10} ga bo'lish.

$$x=\frac{335036539246102637\sqrt{10}}{100000000000000000}$$