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1.05 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

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?

Easy
< 1min
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Outcomes

ACMMM008

solve quadratic equations using the quadratic formula and by completing the square

ACMMM010

find turning points and zeros of quadratics and understand the role of the discriminant

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