Roots of Quadratic Equations | math4u.vsb.cz

Submitted by michaela.bailova on Fri, 10/20/2023 - 19:09

Project ID:

7100020002

Accepted:

SubArea:

Quadratic equations and inequalities

Type:

Layout:

Question:

Match each equation with its solution set. Hint: Use Vieta's formulas.

Questions Title:

Equation

Answers Title:

Roots

Question 1:

3 x^{2} - 7 x + 2 = 0

Answer 1:

{\frac{1}{3}, 2}

Question 2:

- 3 x^{2} + 8 x = - 11

Answer 2:

{- 1, \frac{11}{3}}

Question 3:

2 x^{2} - 10 x + 12.5 = 0

Answer 3:

{\frac{5}{2}}

Question 4:

- x^{2} = 9 - 6 x

Answer 4:

{3}

Question 5:

3 x^{2} + 1 - 2 x = 0

Answer 5:

\emptyset

Question 6:

7 x^{2} + 5 = 12 x

Answer 6:

{\frac{5}{7}, 1}

Question 7:

- 4 x^{2} + 3 x = \frac{9}{16}

Answer 7:

{\frac{3}{8}}

Question 8:

5 x^{2} + 2 x - 3 = 0

Answer 8:

{- 1, \frac{3}{5}}

Question 9:

x^{2} = 6 x - 5

Answer 9:

{1, 5}