50(2)=-981t^2 eching

$$50 ( 2 ) = - 981 t ^ { 2 }$$

t uchun yechish

$$t=-\frac{10\sqrt{109}i}{327}\approx -0-0,319275428i$$

$$t=\frac{10\sqrt{109}i}{327}\approx 0,319275428i$$

Kvadrat ildizini topish bo'yicha qadamlar

100 hosil qilish uchun 50 va 2 ni ko'paytirish.

$$100=-981t^{2}$$

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$-981t^{2}=100$$

Ikki tarafini -981 ga bo‘ling.

$$t^{2}=-\frac{100}{981}$$

Tenglama yechildi.

$$t=\frac{10\sqrt{109}i}{327} t=-\frac{10\sqrt{109}i}{327}$$

Kvadrat tenglamalaridan foydalanish qoidalari

100 hosil qilish uchun 50 va 2 ni ko'paytirish.

$$100=-981t^{2}$$

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$-981t^{2}=100$$

Ikkala tarafdan 100 ni ayirish.

$$-981t^{2}-100=0$$

Ushbu tenglama standart shaklidadir: ax^{2}+bx+c=0. Kvadrat tenglama formulasida, \frac{-b±\sqrt{b^{2}-4ac}}{2a} -981 ni a, 0 ni b va -100 ni c bilan almashtiring.

$$t=\frac{0±\sqrt{0^{2}-4\left(-981\right)\left(-100\right)}}{2\left(-981\right)}$$

0 kvadratini chiqarish.

$$t=\frac{0±\sqrt{-4\left(-981\right)\left(-100\right)}}{2\left(-981\right)}$$

-4 ni -981 marotabaga ko'paytirish.

$$t=\frac{0±\sqrt{3924\left(-100\right)}}{2\left(-981\right)}$$

3924 ni -100 marotabaga ko'paytirish.

$$t=\frac{0±\sqrt{-392400}}{2\left(-981\right)}$$

-392400 ning kvadrat ildizini chiqarish.

$$t=\frac{0±60\sqrt{109}i}{2\left(-981\right)}$$

2 ni -981 marotabaga ko'paytirish.

$$t=\frac{0±60\sqrt{109}i}{-1962}$$

t=\frac{0±60\sqrt{109}i}{-1962} tenglamasini yeching, bunda ± musbat.

$$t=-\frac{10\sqrt{109}i}{327}$$

t=\frac{0±60\sqrt{109}i}{-1962} tenglamasini yeching, bunda ± manfiy.

$$t=\frac{10\sqrt{109}i}{327}$$

Tenglama yechildi.

$$t=-\frac{10\sqrt{109}i}{327} t=\frac{10\sqrt{109}i}{327}$$