Solve Quadratic Equations (HSC SSCE Mathematics Advanced): Quizzes

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Solve Quadratic Equations
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What is the standard form of a quadratic equation?

ax2+bx+c=0ax^2 + bx + c = 0 where a≠0a \neq 0

Which equation is a monic quadratic?

x2+5x+6=0x^2 + 5x + 6 = 0

What does the null factor law state?

If ab=0ab = 0 then a=0a = 0 or b=0b = 0

For monic quadratic x2+bx+c=0x^2 + bx + c = 0, what must two integers do?

Multiply to cc and add to bb

For non-monic ax2+bx+c=0ax^2 + bx + c = 0, what should two numbers multiply to?

a×ca \times c

When completing the square, what do you add to both sides?

Square of half the xx-coefficient

First step for completing square on non-monic ax2+bx+c=0ax^2 + bx + c = 0?

Divide all terms by aa

What is the quadratic formula for ax2+bx+c=0ax^2 + bx + c = 0?

x=−b±b2−4ac2ax = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}

When is the quadratic formula particularly useful?

When factorisation is difficult

Common mistake when using quadratic formula?

Forgetting the negative sign before bb

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