Baholash
-\frac{x^{2}}{500}+\frac{13x}{100}+1
Kengaytirish
-\frac{x^{2}}{500}+\frac{13x}{100}+1
Grafik
Baham ko'rish
Klipbordga nusxa olish
\frac{4x\left(3-0x\right)+\left(100-4x\right)\left(1+\frac{x}{20}\right)}{100}
0 hosil qilish uchun 0 va 2 ni ko'paytirish.
\frac{4x\left(3-0\right)+\left(100-4x\right)\left(1+\frac{x}{20}\right)}{100}
Har qanday sonni nolga ko‘paytirsangiz, nol chiqadi.
\frac{4x\times 3+\left(100-4x\right)\left(1+\frac{x}{20}\right)}{100}
3 olish uchun 3 dan 0 ni ayirish.
\frac{12x+\left(100-4x\right)\left(1+\frac{x}{20}\right)}{100}
12 hosil qilish uchun 4 va 3 ni ko'paytirish.
\frac{12x+\left(100-4x\right)\left(\frac{20}{20}+\frac{x}{20}\right)}{100}
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 1 ni \frac{20}{20} marotabaga ko'paytirish.
\frac{12x+\left(100-4x\right)\times \frac{20+x}{20}}{100}
\frac{20}{20} va \frac{x}{20} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.
\frac{12x+\frac{\left(100-4x\right)\left(20+x\right)}{20}}{100}
\left(100-4x\right)\times \frac{20+x}{20} ni yagona kasrga aylantiring.
\frac{\frac{20\times 12x}{20}+\frac{\left(100-4x\right)\left(20+x\right)}{20}}{100}
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 12x ni \frac{20}{20} marotabaga ko'paytirish.
\frac{\frac{20\times 12x+\left(100-4x\right)\left(20+x\right)}{20}}{100}
\frac{20\times 12x}{20} va \frac{\left(100-4x\right)\left(20+x\right)}{20} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.
\frac{\frac{240x+2000+100x-80x-4x^{2}}{20}}{100}
20\times 12x+\left(100-4x\right)\left(20+x\right) ichidagi ko‘paytirishlarni bajaring.
\frac{\frac{260x+2000-4x^{2}}{20}}{100}
240x+2000+100x-80x-4x^{2} kabi iboralarga o‘xshab birlashtiring.
\frac{260x+2000-4x^{2}}{20\times 100}
\frac{\frac{260x+2000-4x^{2}}{20}}{100} ni yagona kasrga aylantiring.
\frac{-4\left(x-\left(-\frac{5}{2}\sqrt{249}+\frac{65}{2}\right)\right)\left(x-\left(\frac{5}{2}\sqrt{249}+\frac{65}{2}\right)\right)}{20\times 100}
Hali faktorlanmagan ifodalarni faktorlang.
\frac{-\left(x-\left(-\frac{5}{2}\sqrt{249}+\frac{65}{2}\right)\right)\left(x-\left(\frac{5}{2}\sqrt{249}+\frac{65}{2}\right)\right)}{5\times 100}
Surat va maxrajdagi ikkala 4 ni qisqartiring.
\frac{-x^{2}+65x+500}{500}
Ifodani kengaytiring.
\frac{4x\left(3-0x\right)+\left(100-4x\right)\left(1+\frac{x}{20}\right)}{100}
0 hosil qilish uchun 0 va 2 ni ko'paytirish.
\frac{4x\left(3-0\right)+\left(100-4x\right)\left(1+\frac{x}{20}\right)}{100}
Har qanday sonni nolga ko‘paytirsangiz, nol chiqadi.
\frac{4x\times 3+\left(100-4x\right)\left(1+\frac{x}{20}\right)}{100}
3 olish uchun 3 dan 0 ni ayirish.
\frac{12x+\left(100-4x\right)\left(1+\frac{x}{20}\right)}{100}
12 hosil qilish uchun 4 va 3 ni ko'paytirish.
\frac{12x+\left(100-4x\right)\left(\frac{20}{20}+\frac{x}{20}\right)}{100}
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 1 ni \frac{20}{20} marotabaga ko'paytirish.
\frac{12x+\left(100-4x\right)\times \frac{20+x}{20}}{100}
\frac{20}{20} va \frac{x}{20} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.
\frac{12x+\frac{\left(100-4x\right)\left(20+x\right)}{20}}{100}
\left(100-4x\right)\times \frac{20+x}{20} ni yagona kasrga aylantiring.
\frac{\frac{20\times 12x}{20}+\frac{\left(100-4x\right)\left(20+x\right)}{20}}{100}
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 12x ni \frac{20}{20} marotabaga ko'paytirish.
\frac{\frac{20\times 12x+\left(100-4x\right)\left(20+x\right)}{20}}{100}
\frac{20\times 12x}{20} va \frac{\left(100-4x\right)\left(20+x\right)}{20} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.
\frac{\frac{240x+2000+100x-80x-4x^{2}}{20}}{100}
20\times 12x+\left(100-4x\right)\left(20+x\right) ichidagi ko‘paytirishlarni bajaring.
\frac{\frac{260x+2000-4x^{2}}{20}}{100}
240x+2000+100x-80x-4x^{2} kabi iboralarga o‘xshab birlashtiring.
\frac{260x+2000-4x^{2}}{20\times 100}
\frac{\frac{260x+2000-4x^{2}}{20}}{100} ni yagona kasrga aylantiring.
\frac{-4\left(x-\left(-\frac{5}{2}\sqrt{249}+\frac{65}{2}\right)\right)\left(x-\left(\frac{5}{2}\sqrt{249}+\frac{65}{2}\right)\right)}{20\times 100}
Hali faktorlanmagan ifodalarni faktorlang.
\frac{-\left(x-\left(-\frac{5}{2}\sqrt{249}+\frac{65}{2}\right)\right)\left(x-\left(\frac{5}{2}\sqrt{249}+\frac{65}{2}\right)\right)}{5\times 100}
Surat va maxrajdagi ikkala 4 ni qisqartiring.
\frac{-x^{2}+65x+500}{500}
Ifodani kengaytiring.
Misollar
Ikkilik tenglama
{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
Chiziqli tenglama
y = 3x + 4
Arifmetik
699 * 533
Matritsa
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simli tenglama
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differensatsiya
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Oʻngga
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Chegaralar
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}