13m+15m^2 eching

$$13 m + 15 m ^ { 2 }$$

Omil

$$m\left(15m+13\right)$$

Yechim qadamlari

m omili.

$$m\left(13+15m\right)$$

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.

$$15m^{2}+13m=0$$

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.

$$m=\frac{-13±\sqrt{13^{2}}}{2\times 15}$$

13^{2} ning kvadrat ildizini chiqarish.

$$m=\frac{-13±13}{2\times 15}$$

2 ni 15 marotabaga ko'paytirish.

$$m=\frac{-13±13}{30}$$

m=\frac{-13±13}{30} tenglamasini yeching, bunda ± musbat. -13 ni 13 ga qo'shish.

$$m=\frac{0}{30}$$

0 ni 30 ga bo'lish.

$$m=0$$

m=\frac{-13±13}{30} tenglamasini yeching, bunda ± manfiy. -13 dan 13 ni ayirish.

$$m=-\frac{26}{30}$$

\frac{-26}{30} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$m=-\frac{13}{15}$$

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{13}{15} ga bo‘ling.

$$15m^{2}+13m=15m\left(m-\left(-\frac{13}{15}\right)\right)$$

p-\left(-q\right) shaklining barcha amallarigani p+q ga soddalashtiring.

$$15m^{2}+13m=15m\left(m+\frac{13}{15}\right)$$

Umumiy maxrajni topib va hisoblovchini qo'shish orqali \frac{13}{15} ni m ga qo'shing. So'ngra agar imkoni bo'lsa kasrni eng kam shartga qisqartiring.

$$15m^{2}+13m=15m\times \frac{15m+13}{15}$$

15 va 15 ichida eng katta umumiy 15 faktorini bekor qiling.

$$15m^{2}+13m=m\left(15m+13\right)$$

Baholash

$$m\left(15m+13\right)$$