2x+5-x^2+11x/2+15/2 eching

$$2x+5- { x }^{ 2 } + \frac{ 11x }{ 2 } + \frac{ 15 }{ 2 }$$

Baholash

$$-x^{2}+\frac{15x}{2}+\frac{25}{2}$$

Qisqa yechim qadamlari

\frac{25}{2} olish uchun 5 va \frac{15}{2}'ni qo'shing.

$$2x+\frac{25}{2}-x^{2}+\frac{11x}{2}$$

\frac{25}{2} va \frac{11x}{2} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$2x+\frac{25+11x}{2}-x^{2}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. x^{2} ni \frac{2}{2} marotabaga ko'paytirish.

$$2x+\frac{25+11x}{2}-\frac{2x^{2}}{2}$$

\frac{25+11x}{2} va \frac{2x^{2}}{2} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$2x+\frac{25+11x-2x^{2}}{2}$$

\frac{25}{2}+\frac{11}{2}x-x^{2} natijani olish uchun 25+11x-2x^{2} ning har bir ifodasini 2 ga bo‘ling.

$$2x+\frac{25}{2}+\frac{11}{2}x-x^{2}$$

\frac{15}{2}x ni olish uchun 2x va \frac{11}{2}x ni birlashtirish.

$$\frac{15}{2}x+\frac{25}{2}-x^{2}$$

Omil

$$-\left(x-\frac{15-5\sqrt{17}}{4}\right)\left(x-\frac{5\sqrt{17}+15}{4}\right)$$