Exercises for Question Type 8: Finding the roots for real quadratics using the formula

Question 1

Skill question

Use the quadratic formula to solve $x^{2} + 4 x + 5 = 0$ .

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Question 2

Skill question

This question requires solving a quadratic equation with a negative discriminant using the quadratic formula and expressing the roots in complex form.

Find the roots of the equation $x^{2} - 4 x + 7 = 0$ .

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Question 3

Skill question

Solve a quadratic equation with a single real root using the quadratic formula.

Solve the quadratic equation $3 x^{2} - 12 x + 12 = 0$ using the quadratic formula.

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Question 4

Skill question

Find the roots of $\frac{1}{2} x^{2} - 3 x + 4 = 0$ by applying the quadratic formula.

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Question 5

Skill question

Find the roots of $4 x^{2} - 6 x + 5 = 0$ by the quadratic formula.

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Question 6

Skill question

Use the quadratic formula to solve $5 x^{2} - 20 x + 15 = 0$ .

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Question 7

Skill question

Use the quadratic formula to solve $3 x^{2} + 2 x - 8 = 0$ .

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Question 8

Skill question

Solve $- x^{2} + 4 x + 5 = 0$ using the quadratic formula.

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Question 9

Skill question

Find the roots of $x^{2} + 2 x + 1 = 0$ using the quadratic formula.

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Question 10

Skill question

Solve the equation $2 x^{2} + 4 x - 3 = 0$ by applying the quadratic formula, giving your answer in exact form.

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Question 11

Skill question

The following question tests the ability to solve a quadratic equation using the quadratic formula.

Find the roots of the quadratic equation $x^{2} - 5 x + 6 = 0$ using the quadratic formula.

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Question 12

Skill question

Solve $7 x^{2} + 14 x + 7 = 0$ using the quadratic formula.

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IB Mathematics Applications & Interpretation Question Type 8: Finding the Roots for Real Quadratics Using the Formula Exercises