Solving Equations Transformable to Quadratic Equations

Which of the following equations is a quadratic equation?

• a. 3x2 - 2x + 3 ≤ 5

• b. 5x2 + 4x + 3

• c. x 2 + 6x + 5 = 0

• d. 3x + 5y = 7

Which of the following equations is transformable into quadratic equation?

• a. 3x + 7 = x - 5

• b. (x^2 + 2) (x - 3) = x + 10

• c. 2𝑥 /(2 𝑥+1) + 4 /(𝑥−2) = 2

• d. (x + 2) (x-3) = 5

. In the following rational algebraic equations, which can be transformed into quadratic equation?

• a. 𝒙 + (𝟐/ 𝒙 )= 𝟑𝒙^2

• b. (𝑥+5)/ 3 − (1/ 2) = 1

• c. (2𝑥^2) /(𝑥−2) + (2 /𝑥) = x

• d. 3/( 𝑥+5) − 4 /(𝑥−9 )= 7

. What is the standard form of (x - 5) (x + 3) – 8 = 7?

• a. 2x^2 + 2x + 1 = 0

• b. x^ 2 - 2x + 1 = 0

• c. x^2 - 2x - 15 = 0

• d. x^ 2 - 2x – 30 = 0

Which of the following is the standard form of x(x+1) = 12?

• a. x^2 + x - 12 = 0

• b. x^2 - x + 12 = 0

• c. x^2 - 2x + 12 = 0

• d. x^2 + 2x – 12 = 0

. Which of the following are the roots of x(x-4) = 12?

• a. -4 and 3

• b. 6 and -2

• c. 4 and -3

• d. -6 and 2

What are the roots of (x+2)^2 + (x-3)^2 = 17?

• a. 2 and 1

• b. 2 and -1

• c. 4 and -2

• d. 3 and -2

In the equation 𝑥^2 + (𝑥/ 3) = 2 /3 which is transformable into quadratic equation, what is the LCD?

• a. 3

• b. 2

• c. x^2

• d. x

In the equation 𝑥^2 + (𝑥/ 3) = 2 /3 which is transformable into quadratic equation, what is the standard form in quadratic equation?

• a. x^2 + x + 2 = 0

• b. x^2 + x - 2 = 0

• c. 3x^2 + 4x - 2 = 0

• d. 3x^2 + x - 2 = 0

What are the roots of the equation 𝑥^2 + (𝑥/3) = 2/3 ?

• a. -1 and 2/3

• b. -1 and 2

• c. 2 and 3

• d. 2 and -3