Finding the Equation (Grade 11 NSC Matric Mathematics): Quizzes

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Finding the Equation
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What does 'finding the equation' mean in quadratic equations?

Determining equation from given roots

If roots are pp and qq, what is the first step in finding the equation?

Write x=px = p or x=qx = q

What is the relationship between roots and signs in factor brackets?

Signs in brackets are opposite to roots

After writing x−p=0x - p = 0 or x−q=0x - q = 0, what is the next step?

Write as (x−p)(x−q)=0(x - p)(x - q) = 0

What equation has roots 13 and -5?

x2−8x−65=0x^2 - 8x - 65 = 0

When finding an equation with fractional roots, what should you do?

Multiply through to eliminate fractions

Can different equations have identical roots?

Yes, if they differ by constant factor

How can you verify your equation is correct?

Substitute roots back into equation

What is the expanded form pattern for roots pp and qq?

x2−(p+q)x+pq=0x^2 - (p + q)x + pq = 0

What is the most common mistake when finding equations from roots?

Getting signs wrong in factors

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