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AustraliaNSW
Stage 5.1-3

4.03 The quadratic formula

Interactive practice questions

Consider the following statement:

'Any quadratic equation that can be solved by completing the square can be solved by the quadratic formula.'

Is it true or false?

True

A

False

B
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 $x^2+7x+10=0$x2+7x+10=0 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 $x^2-3x-4=0$x23x4=0 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 $2x^2+9x=0$2x2+9x=0 with $a>0$a>0.

Easy
< 1min
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Outcomes

MA5.2-8NA

solves linear and simple quadratic equations, linear inequalities and linear simultaneous equations, using analytical and graphical techniques

MA5.3-7NA

solves complex linear, quadratic, simple cubic and simultaneous equations, and rearranges literal equations

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