(1.4+x)(1.4-x)=(x-1.7)(7.6-x) eching

$$( 1.4 + x ) ( 1.4 - x ) = ( x - 1.7 ) ( 7.6 - x )$$

x uchun yechish

$$x=1,6$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Hisoblang: \left(1,4+x\right)\left(1,4-x\right). Ko‘paytirish qoida yordamida turli kvadratlarga aylantirilishi mumkin: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}. 1,4 kvadratini chiqarish.

$$1,96-x^{2}=\left(x-1,7\right)\left(7,6-x\right)$$

x-1,7 ga 7,6-x ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.

$$1,96-x^{2}=9,3x-x^{2}-12,92$$

Ikkala tarafdan 9,3x ni ayirish.

$$1,96-x^{2}-9,3x=-x^{2}-12,92$$

x^{2} ni ikki tarafga qo’shing.

$$1,96-x^{2}-9,3x+x^{2}=-12,92$$

0 ni olish uchun -x^{2} va x^{2} ni birlashtirish.

$$1,96-9,3x=-12,92$$

Ikkala tarafdan 1,96 ni ayirish.

$$-9,3x=-12,92-1,96$$

-14,88 olish uchun -12,92 dan 1,96 ni ayirish.

$$-9,3x=-14,88$$

Ikki tarafini -9,3 ga bo‘ling.

$$x=\frac{-14,88}{-9,3}$$

\frac{-14,88}{-9,3} kasrini uning surat va maxrajini 100 ga ko‘paytirish bilan kengaytiring.

$$x=\frac{-1488}{-930}$$

\frac{-1488}{-930} ulushini -186 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x=\frac{8}{5}$$