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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

VCMNA333

Substitute values into formulas to determine an unknown and re-arrange formulas to solve for a particular term

VCMNA341

Solve simple quadratic equations using a range of strategies.

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