-9/2=a*(-5/8+7/2)^2+10/3 eching

$$- \frac { 9 } { 2 } = a \cdot ( - \frac { 5 } { 8 } + \frac { 7 } { 2 } ) ^ { 2 } + \frac { 10 } { 3 }$$

a uchun yechish

$$a=-\frac{1504}{1587}\approx -0,947700063$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

\frac{23}{8} olish uchun -\frac{5}{8} va \frac{7}{2}'ni qo'shing.

$$-\frac{9}{2}=a\times \left(\frac{23}{8}\right)^{2}+\frac{10}{3}$$

2 daraja ko‘rsatkichini \frac{23}{8} ga hisoblang va \frac{529}{64} ni qiymatni oling.

$$-\frac{9}{2}=a\times \frac{529}{64}+\frac{10}{3}$$

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$a\times \frac{529}{64}+\frac{10}{3}=-\frac{9}{2}$$

Ikkala tarafdan \frac{10}{3} ni ayirish.

$$a\times \frac{529}{64}=-\frac{9}{2}-\frac{10}{3}$$

-\frac{47}{6} olish uchun -\frac{9}{2} dan \frac{10}{3} ni ayirish.

$$a\times \frac{529}{64}=-\frac{47}{6}$$

Ikki tarafini \frac{64}{529} va teskari kasri \frac{529}{64} ga ko‘paytiring.

$$a=-\frac{47}{6}\times \frac{64}{529}$$

-\frac{1504}{1587} hosil qilish uchun -\frac{47}{6} va \frac{64}{529} ni ko'paytirish.

$$a=-\frac{1504}{1587}$$