In algebra, a quadratic equation is a second-order equation that can be rearranged in standard form as: ax2 + bx + c = 0 In this equation, x represents an unknown value, and a, b, and c represent known numbers, where a ≠ 0. The term "quadratic" comes from the Latin word "quadratus" which means square. This refers to the fact that the variable x is squared in the equation. Not every quadratic equation is in standard form. Here are some examples of non-standard quadratic equations: - Missing the linear coefficient - Missing the constant termRelated Tests:  Algebra Practice Test: Linear... Show more

In algebra, a quadratic equation is a second-order equation that can be rearranged in standard form as: ax² + bx + c = 0

In this equation, x represents an unknown value, and a, b, and c represent known numbers, where a ≠ 0.

The term "quadratic" comes from the Latin word "quadratus" which means square. This refers to the fact that the variable x is squared in the equation.

Not every quadratic equation is in standard form. Here are some examples of non-standard quadratic equations:

- Missing the linear coefficient

- Missing the constant termRelated Tests: 

Algebra Practice Test: Linear Equations 

Algebra Practice Test: Remainder Theorem

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Algebra Practice Test: Quadratic Equations

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25 Questions

1. If 9x - 10.3 x + 9 = 0 then x is

2 or 04 or 31 or - 24 or 9

2. (1926 + 1817 - 717 - 826) is divided by

44223311

3. The positive value of m for which the roots of the equation 12x2 + mx + 5 + 0 are in the ratio 3:2, is

4. In solving an equation if sum of roots is wrong the roots are 3 and 4 but if product is wrong the roots are 3, -4. The equation is

2x2 + 2x – 3x2 + 2x + 3x2 - 4x - 5x2 - 2x - 8

5. Find ‘k’ if both roots of 4x2 - kx + 9 = 0 are equal

≠ 3± 2≠ 12≠ 4

6. If α, β be the roots 5x2 – 5x - 8 then -α and -β are roots of ______.

none5x2 - 5x + 85x2 + 5x + 85x2 - 5x - 8

7. Which of the following is true in case of quadratic equation? (1) It has only one variable. (2) There is at least one term which has a variable raised to power 2. (3) No term has a variable with an index greater than 2.

ii and iiii and iiii and iiall of these

8. If α, β be the roots of x2 - 5x + 8 then form an equation whose roots are α + β and α, β.

x2 -13x + 40x2 -13x - 40x2 - 3x - 40x2 - 10x + 21

9. The equations x2 - 5x - 6 has 1 root common with x2 + mx + 36; m is

37-1212

10. Find the roots of 5x2 - 8x - 4 = 0

none of these

11. If two real numbers x and y satisfy the equation then

x = 0y = 4 or y = 0x = 4 or x = 0Both x and y are irrational

12. In solution of x2 + 5x - b = 0 and x2 - kx + 9 having both common roots the values of ‘b’ and ‘k” will be

9, -5-9, 5-9, -55, 9

13. When all the numbers given below are raised to their 5th and th powers, which will give the largest and smallest results respectively? (1) (2) (3) (4)

III, IIII, IInone of theseIV, I

14. Find the square root of

15. Simplify

-212

16. Determine the unique pair of real numbers (x, y) that satisfy the equation (4x2 + 6x + 4) (4y2 – 12y + 25) = 28.

(-3/4, 3/2)(3/4, 3/2)(-3/2, 3/4)(3/2, 3/4)

17. The solution of the equation 6x2 - 7x - 24 is

- 3/2, - 8/38/3, - 3/23/2, - 8/3

18. If (x + 2) (x + 3) > 0 then x

(-5, -2)(-2, 3)(-3, -2)

19. One root of x3 + 3x2 + 8x + 24 = 0 is

none43-4

20. The number of distinct solutions for the equation |x -|2x + 1||= 3 is/are:

2014

21. One root of the equation 12x2 – 11x -15 is given by

2/35/85/3

22. The equations x2 - 5x - 6 has 1 root common with x2 + mx + 36; m is

7- 3-1212

23. The roots of 4x2 - 4x - 15 differ by ______

3/215/24

24. The value of

none1480 × 31/3(480)2880 × 21/3

25. For what values of m the equation 3x2 + 5mx + 9 will have non-real roots?

3, 4-2, 44, 42, 4