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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

1.2.2.3

solve quadratic equations algebraically using factorisation, the quadratic formula (both exact and approximate solutions), and completing the square and using technology

1.2.2.6

determine turning points and zeros of quadratic functions with and without technology

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