Math worksheet on quadratic equations will help the students to practice the standard form of quadratic equation. Practice the quadratic equation and learn how to solve the quadratic equation.

1. Which of the following are quadratic equations?

(a) 3 x² + 11x + 10 = 0

(b) x + $$\frac{1}{x}$$ = 4

(c) x - $$\frac{5}{x}$$ = x²

(d) 2x² - √5x + 7 = 0

(e) x² - √x - 5 = 0

(f) x² - 3x = 0

(g) x² + 1/x² = 3

(h) x (x + 1) - (x + 2) (x - 2) = -8

2. Find if the given values are the solution of the given equations.

(a) 4x² + 5x = 0;                  x = 0 and x = $$\frac{-5}{4}$$

(b) 3x² + 11x + 10 = 0;       x = $$\frac{-2}{3}$$ and x = $$\frac{-1}{3}$$

(c) 2x² - x - 9 = 0;               x = 2 and x = 3

(d) x² - x - 1 = 0 ;                x = 1 and x = -1

(e) x² - √2x - 4 = 0;             x = -2√2 and x = √2

3. Solve the following quadratic equations and find the solution.

(a) x² - 2x - 8 = 0

(b) 3x² - 13x + 12 = 0

(c) x² + x - 2 = 0

(d) 2x² + 5x + 3 = 0

(e) 9x² - 34x - 8 = 0

(f) 10x - $$\frac{1}{x}$$ = 3

(g) (x² - 1)/(x² + 1) = ⁴/₅

(h) (3x² + 7)/(x² + 4) = 2

(i) x² - 4x - 21 = 0

(j) 1/(x + 5) = (1/3) - 1/(x - 3)

(k) (3 - 2x)/(4 - 3x) = x

(l) $$\frac{5}{x}$$ - 2 = 2/x²

(m) (x + 1)/(x - 1) - (x - 1)/(x + 1) = ⁵/₆

(n) $$\frac{1}{x - 2}$$ + $$\frac{2}{x - 1}$$ = $$\frac{6}{x}$$

(o) (2x - 5)/(x - 3) - ²⁵/₃ = -2x/(x - 4)

(p) 4/(x + 4) - 1/(x + 1) = 2/(x + 2)

(q) 9x - 162/x - 63 = 0

(r) 15/(15 - x) = ³ˣ/₁₀

(s) x² - 7x - 60 = 0

(t) (4 - 3x) (2x + 3) = 5x

(u) (2x² + 2)/(x² - 2x) = ¹⁷/₄

(v) 14x + 5 - 3x² = 0

Answers for worksheet on quadratic equations are given below to check the exact answers of the above equations.

1. (a), (b), (d), (f)

2. (a) Yes

(b) No

(c) No

(d) No

(e) No

3. (a) -2, 4

(b) 4/3, 3

(c) 1, -2

(d) -1, -3/2

(e) -2/9, 4

(f) -1/5, 1/2

(g) -3, 3

(h) -1, 1

(i) -3, 7

(j) -3, 7

(k) 1

(l) 1/2, 2

(m) -1/5, 5

(n) 4/3, 3

(o) 6, 40/13

(p) 2, 39/8

(q) 9, -2

(r) 5, 10

(s) -5, 12

(t) 1, -2

(u) -2/9, 4

(v) 5, -1/3

Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.

Recent Articles

1. Formation of Greatest and Smallest Numbers | Arranging the Numbers

May 19, 24 03:36 PM

the greatest number is formed by arranging the given digits in descending order and the smallest number by arranging them in ascending order. The position of the digit at the extreme left of a number…

2. Formation of Numbers with the Given Digits |Making Numbers with Digits

May 19, 24 03:19 PM

In formation of numbers with the given digits we may say that a number is an arranged group of digits. Numbers may be formed with or without the repetition of digits.

3. Arranging Numbers | Ascending Order | Descending Order |Compare Digits

May 19, 24 02:23 PM

We know, while arranging numbers from the smallest number to the largest number, then the numbers are arranged in ascending order. Vice-versa while arranging numbers from the largest number to the sma…

4. Comparison of Numbers | Compare Numbers Rules | Examples of Comparison

May 19, 24 01:26 PM

Rule I: We know that a number with more digits is always greater than the number with less number of digits. Rule II: When the two numbers have the same number of digits, we start comparing the digits…