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Baldi's Math Quiz: 29: Quadratic Equations

Total questions: 1

Worksheet time: 17mins

Name
Class
Date
1-15.

Lesson 9-ε: Quadratic Equations

レッスン 9-ε: 二次方程式

Quadratics can be defined as a polynomial equation of a second degree, which implies that it comprises a minimum of one term that is squared. It is also called quadratic equations.

二次方程式は 2 次の多項方程式として定義できます。これは、2 乗される最小の 1 つの項で構成されていることを意味します。 二次方程式とも呼ばれます。

1.

Completed Squares: Solve for u in the equation (u3)2=900\left(u-3\right)^2=900 .

(a)  

2.

Completed Squares: The answers to (x+115)2=44825\left(x+\frac{11}{5}\right)^2=\frac{448}{25} for x are 15(1178)\frac{1}{5}(−11−\sqrt[8]{7}) or 15(7811)\frac{1}{5}(\sqrt[8]{7}−11) .

a)

True

b)

False

3.

Completed Squares: What are all the values of x such that (x1110)2=1280169\left(x-\frac{11}{10}\right)^2=\frac{1280}{169} ?

(a)  

4.

Integer Solutions: Solve for x: x29 x+18=0x^2-9\ x+18=0

(a)  

5.

Integer Solutions: Solve for q in the equation 9 q236 q288=09\ q^2-36\ q-288=0 .

(a)  

6.

Integer Solutions: Calculate all the values of x such that 14 x2+28 x3570=014\ x^2+28\ x-3570=0 .

(a)  

7.

Difference Of Squares: Solve for x: x215=0x^2-15=0

(a)  

8.

Difference Of Squares: Solve 7 x27=07\ x^2-7=0 for x.

(a)  

9.

Difference Of Squares: Find the values of x such that 7 x212=07\ x^2-12=0 .

(a)  

10.

Complex Number Solutions: Solve for y: 4 y248 y+180=04\ y^2-48\ y+180=0

(a)  

11.

Complex Number Solutions: solve for x in the equation 3 x2215 x+3278=0\frac{3\ x^2}{2}-15\ x+\frac{327}{8}=0 .

(a)  

12.

Complex Number Solutions: Find all the values, real and imaginary, of q such that 11 q25198 q35+13275924500=0\frac{11\ q^2}{5}-\frac{198\ q}{35}+\frac{132759}{24500}=0 .

(a)  

13.

Radical Solutions: Solve for x: 4 x2+1116 x924=04\ x^2+\sqrt[16]{11}\ x-924=0

(a)  

14.

Radical Solutions: Solve for s in the equation s2112 s+33=0-s^2-\sqrt[2]{11}\ s+33=0 .

(a)  

15.

Radical Solutions: What are all the values of x such that 3 x2 312 x+189=0-3\ x^{2\ }-\sqrt[12]{3}\ x+189=0 ?

(a)