49x^2-24x eching

$$49 x ^ { 2 } - 24 x$$

Omil

$$x\left(49x-24\right)$$

Yechim qadamlari

x omili.

$$x\left(49x-24\right)$$

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.

$$49x^{2}-24x=0$$

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.

$$x=\frac{-\left(-24\right)±\sqrt{\left(-24\right)^{2}}}{2\times 49}$$

\left(-24\right)^{2} ning kvadrat ildizini chiqarish.

$$x=\frac{-\left(-24\right)±24}{2\times 49}$$

-24 ning teskarisi 24 ga teng.

$$x=\frac{24±24}{2\times 49}$$

2 ni 49 marotabaga ko'paytirish.

$$x=\frac{24±24}{98}$$

x=\frac{24±24}{98} tenglamasini yeching, bunda ± musbat. 24 ni 24 ga qo'shish.

$$x=\frac{48}{98}$$

\frac{48}{98} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x=\frac{24}{49}$$

x=\frac{24±24}{98} tenglamasini yeching, bunda ± manfiy. 24 dan 24 ni ayirish.

$$x=\frac{0}{98}$$

0 ni 98 ga bo'lish.

$$x=0$$

ax^{2}+bx+c=a\left(x-x_{1}\right)\left(x-x_{2}\right) formulasi yordamida amalni hisoblang. x_{1} uchun \frac{24}{49} ga va x_{2} uchun 0 ga bo‘ling.

$$49x^{2}-24x=49\left(x-\frac{24}{49}\right)x$$

Umumiy maxrajni topib va suratlarni ayirib \frac{24}{49} ni x dan ayirish. So'ngra imkoni boricha kasrni eng kichik shartga qisqartirish.

$$49x^{2}-24x=49\times \frac{49x-24}{49}x$$

49 va 49 ichida eng katta umumiy 49 faktorini bekor qiling.

$$49x^{2}-24x=\left(49x-24\right)x$$

Baholash

$$x\left(49x-24\right)$$