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Brahmagupta's Formula for Solving Quadratic Equations

Test your understanding of Brahmagupta's Formula for Solving Quadratic Equations.

14 Questions Published
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Questions

Question 1 Multiple Choice (Single Answer)

What is the general form of a quadratic equation?

  1. $$ax^2 + bx + c = 0$$
  2. $$ax^2 - bx + c = 0$$
  3. $$ax^2 + bx - c = 0$$
  4. $$ax^2 - bx - c = 0$$
Question 2 Multiple Choice (Single Answer)

What is Brahmagupta's Formula for solving quadratic equations?

  1. $$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$
  2. $$x = \frac{-b \pm \sqrt{b^2 + 4ac}}{2a}$$
  3. $$x = \frac{-b \pm \sqrt{b^2 - 2ac}}{2a}$$
  4. $$x = \frac{-b \pm \sqrt{b^2 + 2ac}}{2a}$$
Question 3 Multiple Choice (Single Answer)

What is the discriminant of a quadratic equation?

  1. $$b^2 - 4ac$$
  2. $$b^2 + 4ac$$
  3. $$b^2 - 2ac$$
  4. $$b^2 + 2ac$$
Question 4 Multiple Choice (Single Answer)

What are the possible values of the discriminant?

  1. Positive
  2. Negative
  3. Zero
  4. All of the above
Question 5 Multiple Choice (Single Answer)

What is the nature of the roots of a quadratic equation if the discriminant is positive?

  1. Real and distinct
  2. Real and equal
  3. Imaginary
  4. None of the above
Question 6 Multiple Choice (Single Answer)

What is the nature of the roots of a quadratic equation if the discriminant is negative?

  1. Real and distinct
  2. Real and equal
  3. Imaginary
  4. None of the above
Question 7 Multiple Choice (Single Answer)

What is the nature of the roots of a quadratic equation if the discriminant is zero?

  1. Real and distinct
  2. Real and equal
  3. Imaginary
  4. None of the above
Question 8 Multiple Choice (Single Answer)

Solve the quadratic equation $$x^2 + 4x + 3 = 0$$ using Brahmagupta's Formula.

  1. $$x = -1 \pm \sqrt{2}$$
  2. $$x = -2 \pm \sqrt{2}$$
  3. $$x = -3 \pm \sqrt{2}$$
  4. $$x = -4 \pm \sqrt{2}$$
Question 9 Multiple Choice (Single Answer)

Solve the quadratic equation $$2x^2 - 5x + 2 = 0$$ using Brahmagupta's Formula.

  1. $$x = \frac{5 \pm \sqrt{21}}{4}$$
  2. $$x = \frac{5 \pm \sqrt{29}}{4}$$
  3. $$x = \frac{5 \pm \sqrt{37}}{4}$$
  4. $$x = \frac{5 \pm \sqrt{41}}{4}$$
Question 10 Multiple Choice (Single Answer)

Solve the quadratic equation $$3x^2 + 7x - 6 = 0$$ using Brahmagupta's Formula.

  1. $$x = \frac{-7 \pm \sqrt{85}}{6}$$
  2. $$x = \frac{-7 \pm \sqrt{91}}{6}$$
  3. $$x = \frac{-7 \pm \sqrt{97}}{6}$$
  4. $$x = \frac{-7 \pm \sqrt{103}}{6}$$
Question 11 Multiple Choice (Single Answer)

Solve the quadratic equation $$4x^2 - 12x + 9 = 0$$ using Brahmagupta's Formula.

  1. $$x = \frac{6 \pm \sqrt{15}}{2}$$
  2. $$x = \frac{6 \pm \sqrt{21}}{2}$$
  3. $$x = \frac{6 \pm \sqrt{27}}{2}$$
  4. $$x = \frac{6 \pm \sqrt{33}}{2}$$
Question 12 Multiple Choice (Single Answer)

Solve the quadratic equation $$5x^2 + 2x - 3 = 0$$ using Brahmagupta's Formula.

  1. $$x = \frac{-1 \pm \sqrt{23}}{5}$$
  2. $$x = \frac{-1 \pm \sqrt{29}}{5}$$
  3. $$x = \frac{-1 \pm \sqrt{31}}{5}$$
  4. $$x = \frac{-1 \pm \sqrt{37}}{5}$$
Question 13 Multiple Choice (Single Answer)

Solve the quadratic equation $$6x^2 - 11x + 3 = 0$$ using Brahmagupta's Formula.

  1. $$x = \frac{11 \pm \sqrt{109}}{12}$$
  2. $$x = \frac{11 \pm \sqrt{113}}{12}$$
  3. $$x = \frac{11 \pm \sqrt{127}}{12}$$
  4. $$x = \frac{11 \pm \sqrt{131}}{12}$$
Question 14 Multiple Choice (Single Answer)

Solve the quadratic equation $$7x^2 - 13x + 6 = 0$$ using Brahmagupta's Formula.

  1. $$x = \frac{13 \pm \sqrt{121}}{14}$$
  2. $$x = \frac{13 \pm \sqrt{127}}{14}$$
  3. $$x = \frac{13 \pm \sqrt{133}}{14}$$
  4. $$x = \frac{13 \pm \sqrt{139}}{14}$$
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