Solving quadratic equations (OCR GCSE Maths): Quizzes

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Solving Quadratic Equations
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What makes an equation a quadratic equation?

Highest power is a square

How many solutions should you get when solving quadratic equations?

Two

Why do quadratic equations give two solutions?

Squaring +ve & -ve gives same value

What is the first step when solving by factorising?

Rearrange equation to equal zero

When is factorising described as the best method to use?

Often easiest & quickest if possible

What form must a quadratic be in to use the formula x=b±b24ac2ax = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}?

ax2+bx+c=0ax^2 + bx + c = 0

In 5x28x+12=05x^2 - 8x + 12 = 0, what does a negative discriminant indicate?

No real solutions

For x24x+2=0x^2 - 4x + 2 = 0, what are the values of aa and bb?

a=1a = 1, b=4b = -4

When completing the square, what must you do if the coefficient of x2x^2 is NOT 1?

Factor it out first

Using completing the square, x2+10xx^2 + 10x equals which expression?

(x+5)225(x + 5)^2 - 25

What should you remember when taking square roots while completing the square?

Consider both +ve & -ve roots

What calculator tip is given to ensure accuracy with the quadratic formula?

Always use brackets around -ve numbers

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