IB Maths AA SL 2.7 Quadratic Equations and Inequalities Questions

Practise solving quadratic equations and inequalities by factoring, completing the square or using the formula, then using discriminants and graphs to state valid intervals.

Exam points

Solve quadratic equations and inequalities by factoring, formula, completing the square or graphing.
Interpret solution sets and parameter conditions using complete mark-scheme evidence.

[Maximum number: 4]

Let $f(x)=3 x^{2}-6 x+p$ . The equation f(x)=0 has two equal roots.

(a)

Write down the value of the discriminant.

[ 1 ]

correct value 0 , or $36-12 p \quad \boldsymbol{A}^{2}$

(b)

Hence, show that p=3.

[ 2 ]

correct equation which clearly leads to $p=3 \quad \boldsymbol{A} \mathbf{1}$
eg $\quad 36-12 p=0,36=12 p$
p=3
AG N0

(c)

Write down the solution of f(x)=0.

[ 1 ]

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IB Maths AA SL 2.7 Quadratic Equations and Inequalities Questions question 1

Question (a)

Question (b)

Question (c)