28x^2-87x-148 eching

$$28 { x }^{ 2 } -87x-148$$

Omil

$$28\left(x-\frac{87-\sqrt{24145}}{56}\right)\left(x-\frac{\sqrt{24145}+87}{56}\right)$$

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.

$$28x^{2}-87x-148=0$$

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.

$$x=\frac{-\left(-87\right)±\sqrt{\left(-87\right)^{2}-4\times 28\left(-148\right)}}{2\times 28}$$

-87 kvadratini chiqarish.

$$x=\frac{-\left(-87\right)±\sqrt{7569-4\times 28\left(-148\right)}}{2\times 28}$$

-4 ni 28 marotabaga ko'paytirish.

$$x=\frac{-\left(-87\right)±\sqrt{7569-112\left(-148\right)}}{2\times 28}$$

-112 ni -148 marotabaga ko'paytirish.

$$x=\frac{-\left(-87\right)±\sqrt{7569+16576}}{2\times 28}$$

7569 ni 16576 ga qo'shish.

$$x=\frac{-\left(-87\right)±\sqrt{24145}}{2\times 28}$$

-87 ning teskarisi 87 ga teng.

$$x=\frac{87±\sqrt{24145}}{2\times 28}$$

2 ni 28 marotabaga ko'paytirish.

$$x=\frac{87±\sqrt{24145}}{56}$$

x=\frac{87±\sqrt{24145}}{56} tenglamasini yeching, bunda ± musbat. 87 ni \sqrt{24145} ga qo'shish.

$$x=\frac{\sqrt{24145}+87}{56}$$

x=\frac{87±\sqrt{24145}}{56} tenglamasini yeching, bunda ± manfiy. 87 dan \sqrt{24145} ni ayirish.

$$x=\frac{87-\sqrt{24145}}{56}$$

ax^{2}+bx+c=a\left(x-x_{1}\right)\left(x-x_{2}\right) formulasi yordamida amalni hisoblang. x_{1} uchun \frac{87+\sqrt{24145}}{56} ga va x_{2} uchun \frac{87-\sqrt{24145}}{56} ga bo‘ling.

$$28x^{2}-87x-148=28\left(x-\frac{\sqrt{24145}+87}{56}\right)\left(x-\frac{87-\sqrt{24145}}{56}\right)$$

Baholash

$$28x^{2}-87x-148$$