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AustraliaVIC
VCE 11 Methods 2023

2.04 The quadratic formula

Interactive practice questions

The standard form of a quadratic equation is $ax^2+bx+c=0$ax2+bx+c=0.

Identify the values of $a$a, $b$b and $c$c in the quadratic equation $x^2+7x+10=0$x2+7x+10=0 with $a>0$a>0.

$a$a $=$= $\editable{}$
$b$b $=$= $\editable{}$
$c$c $=$= $\editable{}$
Easy
< 1min

The standard form of a quadratic equation is $ax^2+bx+c=0$ax2+bx+c=0.

Identify the values of $a$a, $b$b and $c$c in the quadratic equation $4x^2+3x=5$4x2+3x=5 with $a>0$a>0.

Easy
< 1min

The standard form of a quadratic equation is $ax^2+bx+c=0$ax2+bx+c=0.

Identify the values of $a$a, $b$b and $c$c in the quadratic equation $3x^2-8x+2=9x-7$3x28x+2=9x7 with $a>0$a>0.

Easy
1min

Solve the equation $x^2+11x+28=0$x2+11x+28=0 by using the quadratic formula: $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$x=b±b24ac2a.

Enter each solution on the same line, separated by a comma.

Easy
3min
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Outcomes

U1.AoS2.10

factorisation patterns, the quadratic formula and discriminant, the remainder, factor and rational root theorems and the null factor law

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