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Exercises for Question Type 8: Finding the roots for real quadratics using the formula - IB | RevisionDojo

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

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

Question 1

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

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Question 2

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 $x^2 - 4x + 7 = 0$ .

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Question 3

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

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

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Question 4

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

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Question 5

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

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Question 6

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

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Question 7

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

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Question 8

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

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Question 9

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

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Question 10

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

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Question 11

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

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

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Question 12

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

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