Solving Quadratic Equations (Grade 10 NSC Matric Mathematics): Quizzes

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Solving Quadratic Equations
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10 questions from this quiz

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What is the highest power of the variable in a quadratic equation?

2

In standard form ax2+bx+c=0ax^2 + bx + c = 0, why must a≠0a \neq 0?

To ensure it remains quadratic

How many solutions can a quadratic equation have at most?

Two

What is the first step in solving a quadratic equation by factorisation?

Write in standard form ax2+bx+c=0ax^2 + bx + c = 0

If (x+1)(3x−1)=0(x + 1)(3x - 1) = 0, what does the zero product property tell us?

(x+1)=0(x + 1) = 0 or (3x−1)=0(3x - 1) = 0

What are the solutions to 3x2+2x−1=03x^2 + 2x - 1 = 0?

x=−1x = -1 or x=13x = \frac{1}{3}

How many solutions does a perfect square quadratic like (x−1)2=0(x - 1)^2 = 0 have?

One solution

When solving −2x2+4x−2=0-2x^2 + 4x - 2 = 0, what should you do in step 2?

Divide the entire equation by -2

What is the solution to x2−2x+1=0x^2 - 2x + 1 = 0?

x=1x = 1

What is the final step in solving a quadratic equation?

Check by substituting into original eqn

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