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Квадратные уравнения. Квадратный трёхчлен

Authored by Maria Kozlova

Mathematics

8th Grade

Used 3+ times

Квадратные уравнения. Квадратный трёхчлен
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9 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

формула дискриминанта?

D=b2−2acD=b^2-2ac

D=b2−4acD=b^2-4ac

D=b2+4acD=b^2+4ac

D=2b+4acD=2b+4ac

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

формулировка теоремы Виета? для уравнения x2+px+q=0x^2+px+q=0

x1+x2=p ;x_1+x_2=p\ ;  x1⋅x2=q\ x_1\cdot x_2=q

x1+x2=−p ;x_1+x_2=-p\ ;  x1⋅x2=q\ x_1\cdot x_2=q

x1+x2=p ; x_1+x_2=p\ ;\ x1⋅x2=−qx_1\cdot x_2=-q

x1+x2=−p ;x_1+x_2=-p\ ;

 x1⋅x2=−q\ x_1\cdot x_2=-q

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

формула разложения на множители квадратного трёхчлена ax2+bx+cax^2+bx+c

D(x+x1)(x+x2)D\left(x+x_1\right)\left(x+x_2\right)

a(x−x1)(x−x2)a\left(x-x_1\right)\left(x-x_2\right)

c(x−x1)(x−x2)c\left(x-x_1\right)\left(x-x_2\right)

a(x+x1)(x+x2)a\left(x+x_1\right)\left(x+x_2\right)

4.

MULTIPLE CHOICE QUESTION

3 mins • 2 pts

решить квадратное уравнение 3x2−5x+2=03x^2-5x+2=0

x1 = 1, x2 = 2/3

x1 = -1, x2 = -2/3
x1 = 2, x2 = 1/3
x1 = 0, x2 = 5/3

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Какое значение имеет дискриминант для уравнения x2−4x+4=0x^2-4x+4=0 ?

D=4

D=0

D=-4

D=8

6.

MULTIPLE CHOICE QUESTION

3 mins • 2 pts

Найдите корни уравнения 2x2+3x−5=02x^2+3x-5=0 .

x1 = -5/2, x2 = 1

x1 = 5/2, x2 = -1

x1 = -1, x2 = 5/2

x1 = 1, x2 = -5/2

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Какова формула для нахождения корней квадратного уравнения?

x1,2=−b±D2ax_{1,2} = \frac{-b \pm \sqrt{D}}{2a}

x1,2=b∓D2ax_{1,2} = \frac{b \mp D}{2a}

x1,2=b±D2ax_{1,2} = \frac{b \pm \sqrt{D}}{2a}

x1,2=−b±D2ax_{1,2} = \frac{-b \pm D}{2a}

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