30d-25d^2 eching

$$30 d - 25 d ^ { 2 }$$

Omil

$$5d\left(6-5d\right)$$

Yechim qadamlari

5 omili.

$$5\left(6d-5d^{2}\right)$$

Hisoblang: 6d-5d^{2}. d omili.

$$d\left(6-5d\right)$$

Toʻliq ajratilgan ifodani qaytadan yozing.

$$5d\left(-5d+6\right)$$

Kvadrat tenglamalaridan foydalanish qoidalari

Kvadrat koʻp tenglama bu orqali hisoblanadi: ax^{2}+bx+c=a\left(x-x_{1}\right)\left(x-x_{2}\right), bu yerda x_{1} va x_{2} ax^{2}+bx+c=0 kvadrat tenglamaning yechimlari.

$$-25d^{2}+30d=0$$

ax^{2}+bx+c=0 shaklidagi barcha tenglamalarni kvadrat formulasi bilan yechish mumkin: \frac{-b±\sqrt{b^{2}-4ac}}{2a}. Kvadrat formula ikki yechmni taqdim qiladi, biri ± qo'shish bo'lganda, va ikkinchisi ayiruv bo'lganda.

$$d=\frac{-30±\sqrt{30^{2}}}{2\left(-25\right)}$$

30^{2} ning kvadrat ildizini chiqarish.

$$d=\frac{-30±30}{2\left(-25\right)}$$

2 ni -25 marotabaga ko'paytirish.

$$d=\frac{-30±30}{-50}$$

d=\frac{-30±30}{-50} tenglamasini yeching, bunda ± musbat. -30 ni 30 ga qo'shish.

$$d=\frac{0}{-50}$$

0 ni -50 ga bo'lish.

$$d=0$$

d=\frac{-30±30}{-50} tenglamasini yeching, bunda ± manfiy. -30 dan 30 ni ayirish.

$$d=-\frac{60}{-50}$$

\frac{-60}{-50} ulushini 10 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$d=\frac{6}{5}$$

ax^{2}+bx+c=a\left(x-x_{1}\right)\left(x-x_{2}\right) formulasi yordamida amalni hisoblang. x_{1} uchun 0 ga va x_{2} uchun \frac{6}{5} ga bo‘ling.

$$-25d^{2}+30d=-25d\left(d-\frac{6}{5}\right)$$

Umumiy maxrajni topib va suratlarni ayirib \frac{6}{5} ni d dan ayirish. So'ngra imkoni boricha kasrni eng kichik shartga qisqartirish.

$$-25d^{2}+30d=-25d\times \frac{-5d+6}{-5}$$

-25 va -5 ichida eng katta umumiy 5 faktorini bekor qiling.

$$-25d^{2}+30d=5d\left(-5d+6\right)$$

Baholash

$$5d\left(6-5d\right)$$