Quiz about Ecuaciones de segundo grado

Question 1

Resuelva las siguientes ecuaciones :

$$-5x+4y=-1\ \ \ \ \ \ \ \ \ \ ;\ \ \ \ \ \ \ \ \ \ \ -3x-4y=-3$$

Accepted Answer

$$\left(\frac{1}{2};\frac{3}{8}\right)$$

Answer

$$\left(\frac{1}{3};-\frac{1}{2}\right)$$

Answer

(1,3)

Answer

(1;1)

Question 2

$$2x+3y=2\ ;\ \ \ \ 6x+6y=1$$

Accepted Answer

$$\left(-\frac{3}{2};\frac{5}{3}\right)$$

Answer

$$\left(-\frac{3}{2};\frac{5}{4}\right)$$

Answer

$$\left(\frac{3}{2};1\right)$$

Answer

$$\left(-\frac{5}{4};3\right)$$

Question 3

$$3x+8y=16\ \ \ ;\ \ \ \ 2x-3y=-6$$

Accepted Answer

(0;2)

Answer

(2;0)

Answer

(3;1)

Answer

(1;3)

Question 4

$$x=y+3\ \ \ \ \ ;\ \ 9x=10+6y$$

Accepted Answer

$$\left(-\frac{8}{3};-\frac{17}{3}\right)$$

Answer

(2;3)

Answer

$$\left(\frac{1}{3};-\frac{2}{3}\right)$$

Answer

(2;1)

Question 5

$$7x-5y=2\ \ \ \ \ ;\ y=2x-4$$

Accepted Answer

(6;8)

Answer

$$\left(6;7\right)$$

Answer

(6;9)

Answer

(7;8)

Question 6

$$x^2-4=0$$

Accepted Answer

2 , -2

Answer

1 , - 1

Answer

5 , -5

Answer

3 , 2

Question 7

$$3^{ }x^2\ -21=0$$

Accepted Answer

$$\sqrt[]{7};\ -\ \sqrt[]{7}$$

Answer

$$-\ \sqrt[]{3};\sqrt[]{3}$$

Answer

$$-\ \sqrt[]{7};\sqrt[]{3}$$

Answer

$$\sqrt[]{3};\sqrt[]{2}$$

Question 8

$$\left(x-6\right)^2\ -12=0$$

Accepted Answer

$$6+\sqrt[]{12};6-\sqrt[]{12}$$

Answer

$$2\ \ +\sqrt[]{12}\ ;\ 2\ -\sqrt[]{12}$$

Answer

$$5\ +\sqrt[]{6};5-\sqrt[]{6}$$

Answer

$$5+\sqrt[]{2};5-\sqrt[]{2}$$

Question 9

$$2\left(x+1\right)^2\ -8=0$$

Accepted Answer

$$1;-3$$

Answer

$$1;2$$

Answer

$$3;9$$

Answer

$$2;1$$

Question 10

$$x^2\ -5x\ +6=0$$

Accepted Answer

$$\left(2;3\right)$$

Answer

$$\left(-2;5\right)$$

Answer

$$\left(2;-3\right)$$

Answer

$$\left(1;6\right)$$

Question 11

$$\left(x+1\right)^2\ =x+3$$

Accepted Answer

$$\left(-2;1\right)$$

Answer

$$\left(1;2\right)$$

Answer

$$\left(2;4\right)$$

Answer

$$\left(3;2\right)$$

Question 12

$$-4x^2\ +24x=36$$

Accepted Answer

3

Answer

(2;3)

Answer

(1;2)

Answer

(3:0)

Question 13

$$x^2\ +7x+8=0$$

Accepted Answer

$$\frac{-7+\sqrt[]{17}}{2};\frac{-7-\sqrt[]{17}}{2}$$

Answer

$$-4+\sqrt[]{17};-4-\sqrt[]{17}$$

Answer

$$\left(\frac{1}{2};\frac{3}{4}\right)$$

Answer

(2;3)

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